Relevant bibliographies by topics / Lorentz groups. Representations of groups

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Academic literature on the topic 'Lorentz groups. Representations of groups'

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Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Lorentz groups. Representations of groups"

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MKRTCHYAN, H., and R. MKRTCHYAN. "LITTLE GROUPS OF PREON BRANES." Modern Physics Letters A 18, no. 37 (2003): 2665–72. http://dx.doi.org/10.1142/s0217732303012167.

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Little groups for preon branes (i.e. configurations of branes with maximal (n-1)/n fraction of survived supersymmetry) for dimensions d=2,3,…,11 are calculated for all massless, and partially for massive orbits. For massless orbits little groups are semidirect product of d-2 translational group Td-2 on a subgroup of ( SO (d-2) × R-invariance) group. E.g. at d=9 the subgroup is exceptional G2 group. It is also argued, that 11D Majorana spinor invariants, which distinguish orbits, are actually invariant under d=2+10 Lorentz group. Possible applications of these results include construction of fi
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BERG, MARCUS, CÉCILE DeWITT-MORETTE, SHANGJR GWO, and ERIC KRAMER. "THE PIN GROUPS IN PHYSICS: C, P AND T." Reviews in Mathematical Physics 13, no. 08 (2001): 953–1034. http://dx.doi.org/10.1142/s0129055x01000922.

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A simple, but not widely known, mathematical fact concerning the coverings of the full Lorentz group sheds light on parity and time reversal transformations of fermions. Whereas there is, up to an isomorphism, only one Spin group which double covers the orientation preserving Lorentz group, there are two essentially different groups, called Pin groups, which cover the full Lorentz group. Pin(1, 3) is to O(1, 3) what Spin(1, 3) is to SO(1, 3). The existence of two Pin groups offers a classification of fermions based on their properties under space or time reversal finer than the classification
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Wu, Yue, Michio Seto, and Rongwei Yang. "Kreĭn space representation and Lorentz groups of analytic Hilbert modules." Science China Mathematics 61, no. 4 (2018): 745–68. http://dx.doi.org/10.1007/s11425-016-9009-x.

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KERNER, RICHARD, and OSAMU SUZUKI. "INTERNAL SYMMETRY GROUPS OF CUBIC ALGEBRAS." International Journal of Geometric Methods in Modern Physics 09, no. 06 (2012): 1261007. http://dx.doi.org/10.1142/s0219887812610075.

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We investigate certain Z3-graded associative algebras with cubic Z3 invariant constitutive relations, introduced by one of us some time ago. The invariant forms on finite algebras of this type are given in the cases with two and three generators. We show how the Lorentz symmetry represented by the SL (2, C) group can be introduced without any notion of metric, just as the symmetry of Z3-graded cubic algebra and its constitutive relations. Its representation is found in terms of the Pauli matrices. The relationship of such algebraic constructions with quark states is also considered.
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Rao, A. V. Gopala, and B. S. Narahari. "The C-matrix and the reality classification of the representations of the homogeneous Lorentz group. III. Irreducible representations of the orthochronous and homogeneous Lorentz groups." Journal of Physics A: Mathematical and General 28, no. 4 (1995): 975–83. http://dx.doi.org/10.1088/0305-4470/28/4/021.

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OEHME, REINHARD. "BRST ALGEBRA AND UNITARY TRANSFORMATIONS." Modern Physics Letters A 06, no. 37 (1991): 3427–35. http://dx.doi.org/10.1142/s021773239100395x.

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Unitary transformations are considered in a state space of indefinite metric. They may correspond to representations of groups or to equivalence transformations. Although the BRST algebra provides for the definition of an invariant subspace for the representatives of physical states, there is no such subspace for unphysical states, which can have non-vanishing components in the physical subspace. These components may be removed by equivalence transformations, but they are also generated by Lorentz transformations. Unitary equivalences are used for the definition of invariant sets of unphysical
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Semenov, Dmitry, and Vladislav Shchekoldin. "Theoretical and empirical Lorenz functions, Gini indices, and their properties." Science Bulletin of the Novosibirsk State Technical University, no. 4 (December 18, 2020): 121–44. http://dx.doi.org/10.17212/1814-1196-2020-4-121-144.

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The issues of assessing the fairness and efficiency of the distribution of the total income of society between different groups of the population have attracted attention of scientists for a long time. They became most relevant at the end of the 19th – beginning of the 20th centuries in connection with the intensive stratification of countries with various political and social systems caused by the intensive development of the economy, science and technology. The Lorenz function and the Lorenz curve, as well as the Gini index, are commonly used for theoretical research and applications in the
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ZORICH, Anton. "INVERSION OF HOROSPHERICAL INTEGRAL TRANSFORM ON REAL SEMISIMPLE LIE GROUPS." International Journal of Modern Physics A 07, supp01b (1992): 1047–71. http://dx.doi.org/10.1142/s0217751x92004178.

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There exists the wonderful integral transform on complex semisimple Lie groups, which assigns to a function on the group the set of its integrals over "generalized horospheres" — some specific submanifolds of the Lie group. The local inversion formula for this integral transform, discovered in 50's for [Formula: see text] by Gel'fand and Graev, made it possible to decompose the regular representation on [Formula: see text] into irreducible ones. In case of real semisimple Lie group the situation becomes more complicated, and usually there is no reasonable analogous integral transform at all. N
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Kurose, Hideki, and Yoshiomi Nakagami. "Compact Hopf *-Algebras, Quantum Enveloping Algebras and Dual Woronowicz Algebras for Quantum Lorentz Groups." International Journal of Mathematics 08, no. 07 (1997): 959–97. http://dx.doi.org/10.1142/s0129167x97000469.

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A compact Hopf *-algebra is a compact quantum group in the sense of Koornwinder. There exists an injective functor from the category of compact Hopf *-algebras to the category of compact Woronowicz algebras. A definition of the quantum enveloping algebra Uq(sl(n,C)) is given. For quantum groups SUq(n) and SLq(n,C), the commutant of a canonical representation of the quantum enveloping algebra for q coincides with the commutant of the dual Woronowicz algebra for q-1.
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Wangberg, Aaron, та Tevian Dray. "E6, the group: The structure of SL(3, 𝕆)". Journal of Algebra and Its Applications 14, № 06 (2015): 1550091. http://dx.doi.org/10.1142/s0219498815500917.

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We present the subalgebra structure of 𝔰𝔩(3, 𝕆), a particular real form of 𝔢6 chosen for its relevance to particle physics and its close relation to generalized Lorentz groups. We use an explicit representation of the Lie group 𝔰𝔩(3, 𝕆) to construct the multiplication table of the corresponding Lie algebra 𝔰𝔩(3, 𝕆). Both the multiplication table and the group are then utilized to find various nested chains of subalgebras of 𝔰𝔩(3, 𝕆), in which the corresponding Cartan subalgebras are also nested where possible. Because our construction involves the Lie group, we simultaneously obtain an explici
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Dissertations / Theses on the topic "Lorentz groups. Representations of groups"

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Evseeva, Elena. "Représentations du groupe pseudo-orthogonal dans les espaces des formes différentielles homogènes." Thesis, Reims, 2016. http://www.theses.fr/2016REIMS035/document.

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Dans cette thèse nous étudions des représentations du groupe de Lorentz dans les sections du fibré cotangent sur le cône isotrope. Grâce aux transformations de Fourier et de Poisson nous construisons explicitement tous les opérateurs de brisure de symétrie qui apparaissent dans les lois de branchement des produits tensoriels de telles représentations<br>In this thesis we study representations of the Lorentz group acting on sectionsof the cotangent bundle over the isotropic cone. Using Fourier and Poisson transforms we construct explicitly all the symmetry breaking operators that appear in bran
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Sjöstedt, Klas. "The 2+1 Lorentz Group and Its Representations." Thesis, Stockholms universitet, Fysikum, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:su:diva-183368.

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The Lorentz group is a symmetry group on Minkowski space, and as such is central to studying the geometry of this and related spaces. The group therefore shows up also from physical considerations, such as trying to formulate quantum physics in anti-de Sitter space. In this thesis, the Lorentz group in 2+1 dimensions and its representations are investigated, and comparisons are made to the analogous rotation group. Firstly, all unitary irreducible representations are found and classified. Then, those representations are realised as the square-integrable, analytic functions on the unit circle an
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Andrus, Ivan B. "Matrix Representations of Automorphism Groups of Free Groups." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd856.pdf.

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Hannesson, Sigurdur. "Representations of symmetric groups." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442464.

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Stavis, Andreas. "Representations of finite groups." Thesis, Karlstads universitet, 2017. http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-69642.

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Representation theory is concerned with the ways of writing elements of abstract algebraic structures as linear transformations of vector spaces. Typical structures amenable to representation theory are groups, associative algebras and Lie algebras. In this thesis we study linear representations of finite groups. The study focuses on character theory and how character theory can be used to extract information from a group. Prior to that, concepts needed to treat character theory, and some of their ramifications, are investigated. The study is based on existing literature, with excessive use of
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Scopes, Joanna. "Representations of the symmetric groups." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279989.

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Lawrence, Ruth Jayne. "Homology representations of braid groups." Thesis, University of Oxford, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.236125.

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Towers, Matthew John. "Modular representations of p-groups." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427611.

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Can, Himmet. "Representations of complex reflection groups." Thesis, Aberystwyth University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.289795.

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Cai, Yuanqing. "Theta representations on covering groups." Thesis, Boston College, 2017. http://hdl.handle.net/2345/bc-ir:107492.

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Thesis advisor: Solomon Friedberg<br>Kazhdan and Patterson constructed generalized theta representations on covers of general linear groups as multi-residues of the Borel Eisenstein series. For the double covers, these representations and their (degenerate-type) unique models were used by Bump and Ginzburg in the Rankin-Selberg constructions of the symmetric square L-functions for GL(r). In this thesis, we study two other types of models that the theta representations may support. We first discuss semi-Whittaker models, which generalize the models used in the work of Bump and Ginzburg. Secondl
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Books on the topic "Lorentz groups. Representations of groups"

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K, Srinivasa Rao. Representations of the rotation and Lorentz groups for physicists. Wiley, 1989.

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Srinivasa, Rao K. The rotation and Lorentz groups and their representations for physicists. Wiley, 1988.

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B, Bell Rowen, ed. Groups and representations. Springer, 1995.

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Alperin, J. L., and Rowen B. Bell. Groups and Representations. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-0799-3.

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Representations of algebraic groups. 2nd ed. American Mathematical Society, 2003.

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Representations of algebraic groups. Academic Press, 1987.

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Jones, H. F. Groups, representations, and physics. A. Hilger, 1990.

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Manz, Olaf. Representations of solvable groups. Cambridge University Press, 1993.

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Linear representations of groups. Springer Basel AG, 2010.

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Vinberg, Ernest B. Linear Representations of Groups. Birkhäuser Basel, 1989. http://dx.doi.org/10.1007/978-3-0348-9274-2.

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Book chapters on the topic "Lorentz groups. Representations of groups"

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Hladik, Jean. "Representations of the Lorentz Groups." In Spinors in Physics. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-1488-5_6.

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Woit, Peter. "Representations of the Lorentz Group." In Quantum Theory, Groups and Representations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64612-1_41.

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Sexl, Roman U., and Helmuth K. Urbantke. "The Lorentz Group and Some of Its Representations." In Relativity, Groups, Particles. Springer Vienna, 2001. http://dx.doi.org/10.1007/978-3-7091-6234-7_6.

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Woit, Peter. "Minkowski Space and the Lorentz Group." In Quantum Theory, Groups and Representations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-64612-1_40.

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Sexl, Roman U., and Helmuth K. Urbantke. "Representation Theory of the Lorentz Group." In Relativity, Groups, Particles. Springer Vienna, 2001. http://dx.doi.org/10.1007/978-3-7091-6234-7_8.

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Pusz, W., and S. L. Woronowicz. "Unitary Representations of Quantum Lorentz Group." In Noncompact Lie Groups and Some of Their Applications. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-011-1078-5_30.

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Baker, Andrew. "Lorentz Groups." In Springer Undergraduate Mathematics Series. Springer London, 2002. http://dx.doi.org/10.1007/978-1-4471-0183-3_6.

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Ungar, Abraham A. "Other Lorentz Groups." In Beyond the Einstein Addition Law and its Gyroscopic Thomas Precession. Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-9122-0_12.

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Sexl, Roman U., and Helmuth K. Urbantke. "The Lorentz Transformation." In Relativity, Groups, Particles. Springer Vienna, 2001. http://dx.doi.org/10.1007/978-3-7091-6234-7_1.

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Dirac, P. A. M. "Unitary representations of the Lorentz group." In Special Relativity and Quantum Theory. Springer Netherlands, 1988. http://dx.doi.org/10.1007/978-94-009-3051-3_5.

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Conference papers on the topic "Lorentz groups. Representations of groups"

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Babai, L., and L. Ronyai. "Computing irreducible representations of finite groups." In 30th Annual Symposium on Foundations of Computer Science. IEEE, 1989. http://dx.doi.org/10.1109/sfcs.1989.63461.

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TIEP, PHAM HUU. "REPRESENTATIONS OF FINITE GROUPS AND APPLICATIONS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0052.

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Venkataramana, T. N. "Cohomology of Arithmetic Groups and Representations." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0100.

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MALININ, D. "ON INTEGRAL REPRESENTATIONS OF FINITE GROUPS." In Proceedings of the Conference. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814350051_0018.

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Rumynin, Dmitriy. "Kac-Moody Groups and Their Representations." In 3rd International Congress in Algebras and Combinatorics (ICAC2017). WORLD SCIENTIFIC, 2020. http://dx.doi.org/10.1142/9789811215476_0020.

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Schmüdgen, K. "Commutator representations of covariant differential calculi." In Noncommutative Geometry and Quantum Groups. Institute of Mathematics Polish Academy of Sciences, 2003. http://dx.doi.org/10.4064/bc61-0-13.

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Yahya, Zainab, Nor Muhainiah Mohd Ali, Nor Haniza Sarmin, Noor Asma'Adny Mohd Adnan, and Hamisan Rahmat. "Irreducible representations of some point groups which are isomorphic to some dihedral groups." In PROCEEDINGS OF THE 21ST NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM21): Germination of Mathematical Sciences Education and Research towards Global Sustainability. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4887660.

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Cooperman, Gene, Larry Finkelstein, Bryant York, and Michael Tselman. "Constructing permutation representations for large matrix groups." In the international symposium. ACM Press, 1994. http://dx.doi.org/10.1145/190347.190384.

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Cooperman, Gene, Larry Finkelstein, and Michael Tselman. "Computing with matrix groups using permutation representations." In the 1995 international symposium. ACM Press, 1995. http://dx.doi.org/10.1145/220346.220379.

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KASSEL, FANNY. "GEOMETRIC STRUCTURES AND REPRESENTATIONS OF DISCRETE GROUPS." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0090.

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Reports on the topic "Lorentz groups. Representations of groups"

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Hazelton, Keith. LDAP representations of membership in groups. Internet2, 2005. http://dx.doi.org/10.26869/ti.111.1.

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