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Journal articles on the topic 'Jacobi's identity'

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Published: 24 April 2022

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1

Joichi, J. T., and Dennis Stanton. "An involution for Jacobi's identity." Discrete Mathematics 73, no. 3 (1989): 261–71. http://dx.doi.org/10.1016/0012-365x(89)90269-0.

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2

DUVERNEY, DANIEL. "Some arithmetical consequences of Jacobi's triple product identity." Mathematical Proceedings of the Cambridge Philosophical Society 122, no. 3 (November 1997): 393–99. http://dx.doi.org/10.1017/s0305004197001916.

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3

KIM, SUN. "A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY." International Journal of Number Theory 06, no. 02 (March 2010): 247–56. http://dx.doi.org/10.1142/s1793042110002909.

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4

ADIGA, C. "JACOBI'S TWO-SQUARE AND FOUR-SQUARE THEOREMS VIA ROGER'S IDENTITY." Tamkang Journal of Mathematics 25, no. 1 (June 6, 2021): 37–40. http://dx.doi.org/10.5556/j.tkjm.25.1994.4423.

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5

Borwein, J. M., and P. B. Borwein. "A Cubic Counterpart of Jacobi's Identity and the AGM." Transactions of the American Mathematical Society 323, no. 2 (February 1991): 691. http://dx.doi.org/10.2307/2001551.

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6

Srivastava, Bhaskar. "Identities for Analogous Ramanujan's Functions by Jacobi's Triple Product Identity." American Journal of Mathematics and Statistics 2, no. 1 (August 31, 2012): 25–28. http://dx.doi.org/10.5923/j.ajms.20120201.06.

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7

Adiga, Chandrashekar, and P. S. Guruprasad. "A Note on Four-Variable Reciprocity Theorem." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–9. http://dx.doi.org/10.1155/2009/370390.

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We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's -summation formula. We also obtain a generalization of Jacobi's triple product identity.
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8

Chaudhary, M. P., and Sangeeta Chaudhary. "On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity." Mathematica Moravica 24, no. 2 (2020): 133–44. http://dx.doi.org/10.5937/matmor2002133c.

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The authors establish a set of two new relationships involving q-product identities, Ralpha, Rbeta, and Rm (m = 1, 2, 3, . . .) functions; and answer a open question of Srivastava et al. [18]. The present work is motivated and based upon recent findings of Chaudhary et al. [8].
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9

Srivastava, Hari M., M. P. Chaudhary, and Sangeeta Chaudhary. "Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity." European Journal of Pure and Applied Mathematics 11, no. 1 (January 30, 2018): 1. http://dx.doi.org/10.29020/nybg.ejpam.v11i1.3222.

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The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi’s triple-product identity in a remarkably simple way. The results presented in this paper are motivated by some recent works by Chaudhary et al. (see [4] and [5]) and others (see, for example, [1] and [13]).
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10

He, Thomas Y., Kathy Q. Ji, and Wenston J. T. Zang. "Bilateral truncated Jacobi’s identity." European Journal of Combinatorics 51 (January 2016): 255–67. http://dx.doi.org/10.1016/j.ejc.2015.05.014.

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11

Lemos, Nivaldo A. "Jacobi’s identity for poisson brackets." American Journal of Physics 68, no. 9 (September 2000): 788. http://dx.doi.org/10.1119/1.1305742.

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12

Melo, Margarida, Antonio Rapagnetta, and Filippo Viviani. "Fourier–Mukai and autoduality for compactified Jacobians. I." Journal für die reine und angewandte Mathematik (Crelles Journal) 2019, no. 755 (October 1, 2019): 1–65. http://dx.doi.org/10.1515/crelle-2017-0009.

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AbstractTo every singular reduced projective curve X one can associate, following Esteves, many fine compactified Jacobians, depending on the choice of a polarization on X, each of which yields a modular compactification of a disjoint union of the generalized Jacobian of X. We prove that, for a reduced curve with locally planar singularities, the integral (or Fourier–Mukai) transform with kernel the Poincaré sheaf from the derived category of the generalized Jacobian of X to the derived category of any fine compactified Jacobian of X is fully faithful, generalizing a previous result of Arinkin in the case of integral curves. As a consequence, we prove that there is a canonical isomorphism (called autoduality) between the generalized Jacobian of X and the connected component of the identity of the Picard scheme of any fine compactified Jacobian of X and that algebraic equivalence and numerical equivalence of line bundles coincide on any fine compactified Jacobian, generalizing previous results of Arinkin, Esteves, Gagné, Kleiman, Rocha, and Sawon.The paper contains an Appendix in which we explain how our work can be interpreted in view of the Langlands duality for the Higgs bundles as proposed by Donagi–Pantev.
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13

López, M., E. Castillo, G. García, and A. Bashir. "Delta robot: Inverse, direct, and intermediate Jacobians." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 220, no. 1 (January 1, 2006): 103–9. http://dx.doi.org/10.1243/095440606x78263.

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In the context of a parallel manipulator, inverse and direct Jacobian matrices are known to contain information which helps us identify some of the singular configurations. In this article, we employ kinematic analysis for the Delta robot to derive the velocity of the end-effector in terms of the angular joint velocities, thus yielding the Jacobian matrices. Setting their determinants to zero, several undesirable postures of the manipulator have been extracted. The analysis of the inverse Jacobian matrix reveals that singularities are encountered when the limbs belonging to the same kinematic chain lie in a plane. Two of the possible configurations which correspond to this condition are when the robot is completely extended or contracted, indicating the boundaries of the workspace. Singularities associated with the direct Jacobian matrix, which correspond to relatively more complicated configurations of the manipulator, have also been derived and commented on. Moreover, the idea of intermediate Jacobian matrices have been introduced that are simpler to evaluate but still contain the information of the singularities mentioned earlier in addition to architectural singularities not contemplated in conventional Jacobians.
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14

Lemos, Nivaldo A. "Short proof of Jacobi’s identity for Poisson brackets." American Journal of Physics 68, no. 1 (January 2000): 88. http://dx.doi.org/10.1119/1.19377.

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15

Kolitsch, Louis W., and Stephanie Kolitsch. "A combinatorial proof of Jacobi’s triple product identity." Ramanujan Journal 45, no. 2 (January 17, 2017): 483–89. http://dx.doi.org/10.1007/s11139-016-9854-5.

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16

Lang, Jeffrey. "A Jacobian identity in positive characteristic." Journal of Commutative Algebra 7, no. 3 (September 2015): 393–409. http://dx.doi.org/10.1216/jca-2015-7-3-393.

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17

Ewell, John A. "A note on a Jacobian identity." Proceedings of the American Mathematical Society 126, no. 2 (1998): 421–23. http://dx.doi.org/10.1090/s0002-9939-98-04527-4.

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18

Borwein, J. M., and P. B. Borwein. "A cubic counterpart of Jacobi’s identity and the AGM." Transactions of the American Mathematical Society 323, no. 2 (February 1, 1991): 691–701. http://dx.doi.org/10.1090/s0002-9947-1991-1010408-0.

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19

Egorychev, Georgy P., and Vitaly A. Stepanenko. "The Combinatorial Identity on the Jacobian Conjecture." Acta Applicandae Mathematicae 85, no. 1-3 (January 2005): 111–20. http://dx.doi.org/10.1007/s10440-004-5590-8.

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20

Overkamp, Otto. "Jumps and Motivic Invariants of Semiabelian Jacobians." International Mathematics Research Notices 2019, no. 20 (January 29, 2018): 6437–79. http://dx.doi.org/10.1093/imrn/rnx303.

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Abstract We investigate Néron models of Jacobians of singular curves over strictly Henselian discretely valued fields and their behavior under tame base change. For a semiabelian variety, this behavior is governed by a finite sequence of (a priori) real numbers between 0 and 1, called jumps. The jumps are conjectured to be rational, which is known in some cases. The purpose of this paper is to prove this conjecture in the case where the semiabelian variety is the Jacobian of a geometrically integral curve with a push-out singularity. Along the way, we prove the conjecture for algebraic tori which are induced along finite separable extensions and generalize Raynaud’s description of the identity component of the Néron model of the Jacobian of a smooth curve (in terms of the Picard functor of a proper, flat, and regular model) to our situation. The main technical result of this paper is that the exact sequence that decomposes the Jacobian of one of our singular curves into its toric and Abelian parts extends to an exact sequence of Néron models. Previously, only split semiabelian varieties were known to have this property.
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21

Mayer, Robert. "Lenin and the Jacobin identity in Russia." Studies in East European Thought 51, no. 2 (June 1999): 127–54. http://dx.doi.org/10.1023/a:1026431208986.

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22

Josuat-Vergès, Matthieu, and Jang Soo Kim. "Touchard–Riordan formulas, T-fractions, and Jacobi’s triple product identity." Ramanujan Journal 30, no. 3 (September 13, 2012): 341–78. http://dx.doi.org/10.1007/s11139-012-9403-9.

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23

Murray, Alan V., and William Donaldson. "The Jacobite Song. Political Myth and National Identity." Jahrbuch für Volksliedforschung 35 (1990): 186. http://dx.doi.org/10.2307/848236.

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24

Tricomi, Albert H. "Dialect and Identity in Harriet Jacobs's Autobiography and Other Slave Narratives." Callaloo 29, no. 2 (2006): 619–33. http://dx.doi.org/10.1353/cal.2006.0125.

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25

Tsumura, Hirofumi. "On series identities arising from Jacobi’s identity of the theta function." International Journal of Number Theory 14, no. 05 (May 28, 2018): 1317–27. http://dx.doi.org/10.1142/s1793042118500823.

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In this paper, we show certain series identities arising from the Jacobi identity of the ordinary theta function. These include several formulas of Ramanujan type given by Berndt and their relevant analogues.
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26

Lin, Weigan. "A new identity in jacobian function and its application." Microwave and Optical Technology Letters 5, no. 2 (February 1992): 86–88. http://dx.doi.org/10.1002/mop.4650050212.

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27

Awonusika, Richard, and Ali Taheri. "A Spectral Identity on Jacobi Polynomials and its Analytic Implications." Canadian Mathematical Bulletin 61, no. 3 (September 1, 2018): 473–82. http://dx.doi.org/10.4153/cmb-2017-056-8.

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AbstractThe Jacobi coefficientsare linked to the Maclaurin spectral expansion of the Schwartz kernel of functions of the Laplacian on a compact rank one symmetric space. It is proved that these coefficients can be computed by transforming the even derivatives of the Jacobi polynomialsinto a spectral sum associated with the Jacobi operator. The first few coefficients are explicitly computed, and a direct trace interpretation of the Maclaurin coefficients is presented.
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28

Srivastava, H. M., M. P. Chaudhary, and S. Chaudhary. "A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity." Russian Journal of Mathematical Physics 27, no. 1 (January 2020): 139–44. http://dx.doi.org/10.1134/s1061920820010148.

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29

Ewell, John A. "Consequences of a sextuple-product identity." International Journal of Mathematics and Mathematical Sciences 10, no. 3 (1987): 545–49. http://dx.doi.org/10.1155/s0161171287000656.

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A sextuple-product identity, which essentially results from squaring the classical Gauss-Jacobi triple-product identity, is used to derive two trigonometrical identities. Several special cases of these identities are then presented and discussed.
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30

Henke, Holger. "Commentary on Merle Jacob's ‘Constructing cultural identity: The question of Caribbean existence’." Social Epistemology 11, no. 1 (January 1997): 69–71. http://dx.doi.org/10.1080/02691729708578830.

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31

Alghaberi, Jameel, and Sanjay Mukherjee. "Identity and Diasporic Trauma in Mira Jacob's “The Sleepwalker's Guide to Dancing”." English Studies at NBU 7, no. 1 (June 1, 2021): 51–68. http://dx.doi.org/10.33919/esnbu.21.1.4.

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This article explores the assimilation politics in Mira Jacob’s Novel The Sleepwalker’s Guide to Dancing (2013). The intersection of memory, trauma, and mourning with reference to immigrant experience is discussed. In terms of assimilation, Barkan’s six stage model is critiqued, and diasporic ‘hybridity’ is proposed as an alternative to the notion of total assimilation. In the analysis of traumatic experience, the paper makes reference to Caruth’s formulations of the ‘abreactive model’. The Sleepwalker’s Guide to Dancing (2013) is a transcultural text that represents the gap that truly exists between the first-generation immigrants and their offspring. It is a typical trauma novel featuring timeless and unspeakable experiences. The novel does not present a postcolonial collective trauma but invariably an example of diasporic imagined trauma. By presenting two contrasting generations in her novel, Mira Jacob attempts to highlight the dilemmas that baffle diasporas in the United States particularly of those that resist assimilation. Much of the narrative projects the haunting presence of home, and the anguish of personal loss experienced by first generation immigrants. Moreover, the novel questions the nostalgic and romantic engagements with the past and it promotes a bold affirmation of the culture of the adopted land. In other words, Mira Jacob calls for more genuine engagements with the new culture that the second and the third-generation immigrants are more exposed to than their home culture because their in-between status leaves them with no choice.
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32

Srivastava, Hari Mohan, Rekha Srivastava, Mahendra Pal Chaudhary, and Salah Uddin. "A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi’s Triple-Product Identity." Mathematics 8, no. 6 (June 5, 2020): 918. http://dx.doi.org/10.3390/math8060918.

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The authors establish a set of six new theta-function identities involving multivariable R-functions which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity. These theta-function identities depict the inter-relationships that exist among theta-function identities and combinatorial partition-theoretic identities. Here, in this paper, we consider and relate the multivariable R-functions to several interesting q-identities such as (for example) a number of q-product identities and Jacobi’s celebrated triple-product identity. Various recent developments on the subject-matter of this article as well as some of its potential application areas are also briefly indicated. Finally, we choose to further emphasize upon some close connections with combinatorial partition-theoretic identities and present a presumably open problem.
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33

Chan, Hei-Chi. "From a Ramanujan-Selberg continued fraction to a Jacobian identity." Proceedings of the American Mathematical Society 137, no. 09 (September 1, 2009): 2849. http://dx.doi.org/10.1090/s0002-9939-09-09835-9.

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34

Yakimova, Oksana. "A combinatorial identity for the Jacobian of t-shifted invariants." Pacific Journal of Mathematics 306, no. 1 (June 14, 2020): 375–83. http://dx.doi.org/10.2140/pjm.2020.306.375.

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35

Bergamaschi, L., and A. Martínez. "Parallel RFSAI-BFGS Preconditioners for Large Symmetric Eigenproblems." Journal of Applied Mathematics 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/767042.

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We propose a parallel preconditioner for the Newton method in the computation of the leftmost eigenpairs of large and sparse symmetric positive definite matrices. A sequence of preconditioners starting from an enhanced approximate inverse RFSAI (Bergamaschi and Martínez, 2012) and enriched by a BFGS-like update formula is proposed to accelerate the preconditioned conjugate gradient solution of the linearized Newton system to solveAu=q(u)u,q(u)being the Rayleigh quotient. In a previous work (Bergamaschi and Martínez, 2013) the sequence of preconditioned Jacobians is proven to remain close to the identity matrix if the initial preconditioned Jacobian is so. Numerical results onto matrices arising from various realistic problems with size up to 1.5 million unknowns account for the efficiency and the scalability of the proposed low rank update of the RFSAI preconditioner. The overall RFSAI-BFGS preconditioned Newton algorithm has shown comparable efficiencies with a well-established eigenvalue solver on all the test problems.
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36

Chan, Hei-Chi. "Another simple proof of the quintuple product identity." International Journal of Mathematics and Mathematical Sciences 2005, no. 15 (2005): 2511–15. http://dx.doi.org/10.1155/ijmms.2005.2511.

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37

Molen, Steven. "The Identity of Jacob's Opponent: Wrestling with Ambiguity in Gen. 32:22-32." Shofar: An Interdisciplinary Journal of Jewish Studies 11, no. 2 (1993): 16–29. http://dx.doi.org/10.1353/sho.1993.0032.

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38

BANERJEE, R., H. J. ROTHE, and K. D. ROTHE. "ON THE VIOLATION OF THE JACOBI IDENTITY IN THE ALGEBRA OF FERMIONIC CURRENTS." Modern Physics Letters A 05, no. 14 (June 10, 1990): 1103–8. http://dx.doi.org/10.1142/s0217732390001232.

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The problem of the violation of the Jacobi identity in the algebra of currents is reconsidered. Such a violation has recently been claimed to occur also in the case of free fermionic currents. We consider a regularization prescription for the corresponding double commutators consistent with the Jacobi identity.
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39

BANERJEE, R., H. J. ROTHE, and K. D. ROTHE. "BJL DEFINITION OF DOUBLE COMMUTATORS AND THE JACOBI IDENTITY." Modern Physics Letters A 05, no. 26 (October 20, 1990): 2147–53. http://dx.doi.org/10.1142/s0217732390002444.

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40

Apryshchenko, V. Yu, and N. A. Lagoshina. "Irish Jacobites in Continental Europe at End of 17th — 18th Centuries." Nauchnyi dialog, no. 8 (August 24, 2021): 272–89. http://dx.doi.org/10.24224/2227-1295-2021-8-272-289.

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The problem of migration of the Irish military to the European continent in modern times is examined in the article. Particular attention is paid to their role, political attitudes and adaptation in host societies. The relevance of the study is due to insufficient knowledge of the specifics of the Irish military migration of the 18th century and the degree to which Jacobite ideology influenced the political mood of Irish people in Europe. The novelty of the study is seen in the fact that the study of the mass migration of the Irish military to Europe in the period between the Treaty of Limerick in 1691 and the end of the War of Austrian Succession in 1748 will complement the Irish military history of modern times. The study of personal correspondence, memoirs and literary works allows a deeper study of the issues of identity, ideology and collective memory of the Irish military, to determine the degree of participation of the Irish in various dynastic wars and conspiracies in Europe in the XVIII century, to restore some details from the life of the Irish Jacobites, conspirators, spies and social net-works migrants. Analysis of various sources has led to a rethinking of the situation of the Irish diaspora in France and Spain. It was found that through an extensive migration network, the Irish Jacobites communicated with the world community of Irish-in-exile, posing a threat to the Hanoverian government.
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41

Chaudhary, Mahendra Pal, Sangeeta Chaudhary, and Junesang Choi. "TWO IDENTITIES DERIVABLE FROM THE JACOBI’S TRIPLE-PRODUCT IDENTITY AND THE RAMANUJAN CONTINUED FRACTION." Far East Journal of Mathematical Sciences (FJMS) 102, no. 1 (June 13, 2017): 243–49. http://dx.doi.org/10.17654/ms102010243.

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42

HOU, BO-YU, and YAO-ZHONG ZHANG. "COMMENT ON THE CONSTRAINT FOR ANOMALOUS JACOBI IDENTITY." Modern Physics Letters A 01, no. 02 (May 1986): 103–10. http://dx.doi.org/10.1142/s0217732386000154.

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A 4-fold identity for infinitesimal generators of finite group transformations which impose a constraint for anomalous Jacobi identity is obtained. The differences between the resulting non-associative algebra and the so-called Malcev algebra are revealed. Simple applications of our results to the translation group are also discussed.
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43

Smith, Nadia Clare. ""A Good Quaker and a Bad Sinn Feiner": Identity Formation in Rosamond Jacob's Diary." Éire-Ireland 45, no. 3-4 (2010): 124–46. http://dx.doi.org/10.1353/eir.2010.0014.

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44

ABREU, E. M. C., D. DALMAZI, and E. A. SILVA. "THE JACOBI IDENTITY FOR DIRAC-LIKE BRACKETS." International Journal of Modern Physics A 17, no. 03 (January 30, 2002): 395–404. http://dx.doi.org/10.1142/s0217751x0200602x.

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For redundant second-class constraints the Dirac brackets cannot be defined and new brackets must be introduced. We prove here that the Jacobi identity for the new brackets must hold on the surface of the second-class constraints. In order to illustrate our proof we work out explicitly the cases of a fractional spin particle in 2+1 dimensions and the original Brink–Schwarz massless superparticle in D=10 dimensions in a Lorentz-covariant constraints separation.
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45

Rademakers, Anna. "JACOBUS JOSEPHUS EECKHOUT." De Moderne Tijd 3, no. 3 (January 1, 2019): 190–210. http://dx.doi.org/10.5117/dmt2019.3.002.rade.

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JACOBUS JOSEPHUS EECKHOUT A Belgian painter’s times in The Hague (1831-1844) In 1831, shortly after the outbreak of the Belgian Revolution, the Belgian painter Jacob Joseph Eeckhout moved from Brussels to The Hague. As a supporter of King Willem I, he no longer felt at ease in his homeland. Eeckhout remained in the Netherlands until 1843 and played an important role in the cultural life of The Hague. This article analyzes the The Hague episode in Eeckhout’s life in the light of the political developments of that time. To what extent did notions of nationality and national identity play a role in his artistic views and career?
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46

Donabed, Sargon George, and Shamiran Mako. "Ethno-Cultural and Religious Identity of Syrian Orthodox Christians." Chronos 19 (April 11, 2019): 71–113. http://dx.doi.org/10.31377/chr.v19i0.457.

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Many Middle Eastern Christian groups identify or have been identified with pre-lslamic peoples in the Middle East: the Copts with Ancient Egypt, the Nestorians with Assyria, the Maronites with Phoenicians and some Rum Onhodox and other Christians with pre-lslamic Arab tribes. The concern of this study is the Syrian Orthodox Christians or Jacobite(s) (named after the 6th century Monophysite Christian bishop Yacoub Burd'ono or Jacob Baradaeus of Urfa/Osrohene/Edessa), specifically those whose ancestry stems from the Tur Abdin region of Turkey, Diyarbekir, Mardin, Urfa, and Harput/Elazig.
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47

Apagodu, Moa. "New series representations for Jacobiʼs triple product identity and more via the q-Markov method." Advances in Applied Mathematics 48, no. 1 (January 2012): 25–36. http://dx.doi.org/10.1016/j.aam.2011.05.002.

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48

Goulden, I. P. "Directed Graphs and the Jacobi-Trudi Identity." Canadian Journal of Mathematics 37, no. 6 (December 1, 1985): 1201–10. http://dx.doi.org/10.4153/cjm-1985-065-6.

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Let |aij|n×n denote the n × n determinant with (i, j)-entry aij, and hk = hk(x1, …, xn) denote the kth-homogeneous symmetric function of x1, …, xn defined bywhere the summation is over all m1, …, mn ≧ 0 such that m1 + … + mn = k. We adopt the convention that hk = 0 for k < 0. For integers α1 ≧ α2 … ≧ αn ≧ 0, the Jacobi-Trudi identity (see [6], [7]) states thatIn this paper we give a combinatorial proof of an equivalent identity, Theorem 1.1, obtained by moving the denominator on the RHS to the numerator on the LHS.
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49

BANERJEE, R., and H. J. ROTHE. "A NOVEL APPROACH TO DOUBLE COMMUTATORS IN CHIRAL GAUGE THEORIES CONSISTENT WITH THE JACOBI IDENTITY." International Journal of Modern Physics A 06, no. 29 (December 10, 1991): 5287–305. http://dx.doi.org/10.1142/s0217751x91002483.

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We give a BJL-type prescription for calculating a double commutator which manifestly respects the Jacobi identity. This prescription is used to calculate the double commutators of currents and electric fields in chiral gauge theories, where they are known to violate the Jacobi identity in an iterative computation. We then derive a consistency equation relating the Schwinger terms of the double commutators of currents and the divergence anomaly. While this consistency equation is violated by the iterative scheme in four space-time dimensions, it is found to be satisfied using our prescription.
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50

Jacobs, Elizabeth. "The Theatrical Politics of Chicana/Chicano Identity: from Valdez to Moraga." New Theatre Quarterly 23, no. 1 (January 16, 2007): 25–34. http://dx.doi.org/10.1017/s0266464x06000601.

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Critical opinion over the role of popular culture in relation to ethnic and cultural identity is deeply divided. In this essay, Elizabeth Jacobs explores the dynamics of this relationship in the works of two leading Mexican American playwrights. Luis Valdez was a founding member of El Teatro Campesino (Farmworkers' Theatre) in California during the 1960s. Originally formed as a resistance theatre, its purpose was to support the Farmworkers' Union in its unionization struggle. By the early 1970s Valdez and the Teatro Campesino were moving in a different direction, and with Zoot Suit (1974) he offered a critique of the race riots that erupted in East Los Angeles during the summer of 1943, the subsequent lack of reasonable judicial process, and the media misrepresentation of events. Valdez used setting, music, slang, and dress code among other devices to construct a sense of identity and ethnic solidarity. This provided a strong voice for the Chicano group, but at the same time a particular gendered hierarchy also distinguished his aesthetic. Cherríe Moraga's work provides a balanced opposition to that of Valdez. Giving up the Ghost (1984) helped to change the direction of Chicano theatre both in terms of its performativity and its strategies of representation. Elizabeth Jacobs explores how Moraga redefines both the culturally determined characterization of identity presented by Valdez and the media representation of women. She also utilizes theatrical space as a platform for a reassertion of ethnicity, allowing for the innovation of a split subjectivity and radical lesbian desire. Giving up the Ghost, Jacobs argues, provides a trenchant critique of communal and popular culture discourses as well as a redefinition of existing identity politics.
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