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Journal articles on the topic 'Principal series'

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1

Kuo, Wentang. "Principal nilpotent orbits and reducible principal series." Representation Theory of the American Mathematical Society 6, no. 5 (July 25, 2002): 127–59. http://dx.doi.org/10.1090/s1088-4165-02-00132-2.

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2

Barbasch, Dan, and Dan Ciubotaru. "Spherical Unitary Principal Series." Pure and Applied Mathematics Quarterly 1, no. 4 (2005): 755–89. http://dx.doi.org/10.4310/pamq.2005.v1.n4.a3.

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3

Muić, Goran. "Reducibility of Generalized Principal Series." Canadian Journal of Mathematics 57, no. 3 (June 1, 2005): 616–47. http://dx.doi.org/10.4153/cjm-2005-025-4.

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4

Matić, Ivan. "On discrete series subrepresentations of the generalized principal series." Glasnik Matematicki 51, no. 1 (June 15, 2016): 125–52. http://dx.doi.org/10.3336/gm.51.1.08.

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5

Danilov, D. L. "Principal Components in Time Series Forecast." Journal of Computational and Graphical Statistics 6, no. 1 (March 1997): 112. http://dx.doi.org/10.2307/1390727.

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6

Jantzen, Chris. "Some remarks on degenerate principal series." Pacific Journal of Mathematics 186, no. 1 (November 1, 1998): 67–87. http://dx.doi.org/10.2140/pjm.1998.186.67.

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7

Danilov, D. L. "Principal Components in Time Series Forecast." Journal of Computational and Graphical Statistics 6, no. 1 (March 1997): 112–21. http://dx.doi.org/10.1080/10618600.1997.10474730.

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8

Jantzen, Chris. "Degenerate principal series for symplectic groups." Memoirs of the American Mathematical Society 102, no. 488 (1993): 0. http://dx.doi.org/10.1090/memo/0488.

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9

Johnson, Kenneth D. "Degenerate principal series and compact groups." Mathematische Annalen 287, no. 1 (March 1990): 703–18. http://dx.doi.org/10.1007/bf01446924.

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10

Cahen, B. "Deformation program for principal series representations." Letters in Mathematical Physics 36, no. 1 (January 1996): 65–75. http://dx.doi.org/10.1007/bf00403252.

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11

Mehdi, S., and R. Zierau. "Principal series representations and harmonic spinors." Advances in Mathematics 199, no. 1 (January 2006): 1–28. http://dx.doi.org/10.1016/j.aim.2004.10.021.

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12

Kudla, Stephen S., and Stephen Rallis. "Degenerate principal series and invariant distributions." Israel Journal of Mathematics 69, no. 1 (February 1990): 25–45. http://dx.doi.org/10.1007/bf02764727.

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13

Pillen, Cornelius. "Loewy Series for Principal Series Representations of Finite Chevalley Groups." Journal of Algebra 189, no. 1 (March 1997): 101–24. http://dx.doi.org/10.1006/jabr.1996.6886.

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14

Muić, Goran. "Composition series of generalized principal series; the case of strongly positive discrete series." Israel Journal of Mathematics 140, no. 1 (December 2004): 157–202. http://dx.doi.org/10.1007/bf02786631.

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15

Wolf, Joseph A. "Principal series representations of direct limit groups." Compositio Mathematica 141, no. 06 (November 2005): 1504–30. http://dx.doi.org/10.1112/s0010437x05001430.

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16

Ban, Dubravka, and Chris Jantzen. "Degenerate principal series for even-orthogonal groups." Representation Theory of the American Mathematical Society 7, no. 19 (October 9, 2003): 440–80. http://dx.doi.org/10.1090/s1088-4165-03-00166-3.

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17

Harris, David. "Principal Components Analysis of Cointegrated Time Series." Econometric Theory 13, no. 4 (February 1997): 529–57. http://dx.doi.org/10.1017/s0266466600005995.

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This paper considers the analysis of cointegrated time series using principal components methods. These methods have the advantage of requiring neither the normalization imposed by the triangular error correction model nor the specification of a finite-order vector autoregression. An asymptotically efficient estimator of the cointegrating vectors is given, along with tests forcointegration and tests of certain linear restrictions on the cointegrating vectors. An illustrative application is provided.
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18

Lee, Juhyung. "A functional equation and degenerate principal series." Rocky Mountain Journal of Mathematics 46, no. 6 (December 2016): 1987–2016. http://dx.doi.org/10.1216/rmj-2016-46-6-1987.

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19

�rsted, Bent, and Genkai Zhang. "Generalized principal series representations and tube domains." Duke Mathematical Journal 78, no. 2 (May 1995): 335–57. http://dx.doi.org/10.1215/s0012-7094-95-07815-6.

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20

Grimus, W., and P. O. Ludl. "Principal series of finite subgroups ofSU(3)." Journal of Physics A: Mathematical and Theoretical 43, no. 44 (October 13, 2010): 445209. http://dx.doi.org/10.1088/1751-8113/43/44/445209.

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21

Lee, Soo Teck, and Chen-bo Zhu. "Degenerate principal series and local theta correspondence." Transactions of the American Mathematical Society 350, no. 12 (1998): 5017–46. http://dx.doi.org/10.1090/s0002-9947-98-02036-4.

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22

Zhang, Genkai. "Jordan algebras and generalized principal series representations." Mathematische Annalen 302, no. 1 (May 1995): 773–86. http://dx.doi.org/10.1007/bf01444516.

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23

Kudla, Stephen S., and Stephen Rallis. "Ramified degenerate principal series representations forSp(n)." Israel Journal of Mathematics 78, no. 2-3 (October 1992): 209–56. http://dx.doi.org/10.1007/bf02808058.

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24

Kudla, Stephen S., and W. Jay Sweet. "Degenerate principal series representations forU(n, n)." Israel Journal of Mathematics 98, no. 1 (December 1997): 253–306. http://dx.doi.org/10.1007/bf02937337.

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25

Pantano, Alessandra, Annegret Paul, and Susana Riba. "Unitary principal series of split orthogonal groups." Pacific Journal of Mathematics 271, no. 2 (September 20, 2014): 479–510. http://dx.doi.org/10.2140/pjm.2014.271.479.

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26

Mishra, Manish, and Basudev Pattanayak. "Principal series component of Gelfand-Graev representation." Proceedings of the American Mathematical Society 149, no. 11 (August 5, 2021): 4955–62. http://dx.doi.org/10.1090/proc/15642.

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27

Luo, Caihua. "Rodier type theorem for generalized principal series." Mathematische Zeitschrift 299, no. 1-2 (March 3, 2021): 897–918. http://dx.doi.org/10.1007/s00209-021-02723-9.

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AbstractGiven a regular supercuspidal representation $$\rho $$ ρ of the Levi subgroup M of a standard parabolic subgroup $$P=MN$$ P = M N in a connected reductive group G defined over a non-archimedean local field F, we serve you a Rodier type structure theorem which provides us a geometrical parametrization of the set $$JH(Ind^G_P(\rho ))$$ J H ( I n d P G ( ρ ) ) of Jordan–Hölder constituents of the Harish-Chandra parabolic induction representation $$Ind^G_P(\rho )$$ I n d P G ( ρ ) , vastly generalizing Rodier structure theorem for $$P=B=TU$$ P = B = T U Borel subgroup of a connected split reductive group about 40 years ago. Our novel contribution is to overcome the essential difficulty that the relative Weyl group $$W_M=N_G(M)/M$$ W M = N G ( M ) / M is not a coxeter group in general, as opposed to the well-known fact that the Weyl group $$W_T=N_G(T)/T$$ W T = N G ( T ) / T is a coxeter group. Along the way, we sort out all regular discrete series/tempered/generic representations for arbitrary G, generalizing Tadić’s work on regular discrete series representation for split $$(G)Sp_{2n}$$ ( G ) S p 2 n and $$SO_{2n+1}$$ S O 2 n + 1 , and also providing a new simple proof of Casselman–Shahidi’s theorem on generalized injectivity conjecture for regular generalized principal series. Indeed, such a beautiful structure theorem also holds for finite central covering groups.
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28

Watanabe, Takao. "Euler factors attached to unramified principal series representations." Tohoku Mathematical Journal 40, no. 4 (1988): 491–534. http://dx.doi.org/10.2748/tmj/1178227920.

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29

Watanabe, Takao. "The irreducible decomposition of the unramified principal series." Proceedings of the Japan Academy, Series A, Mathematical Sciences 63, no. 6 (1987): 215–17. http://dx.doi.org/10.3792/pjaa.63.215.

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30

Watanabe, Takao. "Euler factors attached to unramified principal series representations." Proceedings of the Japan Academy, Series A, Mathematical Sciences 63, no. 7 (1987): 272–74. http://dx.doi.org/10.3792/pjaa.63.272.

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31

Erdélyi, Márton. "On the Schneider–Vigneras functor for principal series." Journal of Number Theory 162 (May 2016): 68–85. http://dx.doi.org/10.1016/j.jnt.2015.10.005.

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32

Lee, Soo Teck, and Chen-Bo Zhu. "Degenerate principal series and local theta correspondence II." Israel Journal of Mathematics 100, no. 1 (December 1997): 29–59. http://dx.doi.org/10.1007/bf02773634.

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33

Gilbert, J. E., R. A. Kunze, and C. Meaney. "Derived intertwining norms for reducible spherical principal series." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 61, no. 2 (October 1996): 171–88. http://dx.doi.org/10.1017/s1446788700000185.

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AbstractWe use the second derivative of intertwining operators to realize a unitary structure for the irreducible subrepresentations in the reducible spherical principal series of U(1, n). These representations can also be realized as the kernels of certain invariant first-order differential operators acting on sections of homogeneous bundles over the hyperboloid (U(1) × U(n))/U(1, n).
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34

Pantano, Alessandra, Annegret Paul, and Susana A. Salamanca-Riba. "Unitary genuine principal series of the metaplectic group." Representation Theory of the American Mathematical Society 14, no. 05 (February 15, 2010): 201–48. http://dx.doi.org/10.1090/s1088-4165-10-00367-5.

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35

Chang, Jen-Tseh. "Large components of principal series and characteristic cycles." Proceedings of the American Mathematical Society 127, no. 11 (May 4, 1999): 3367–73. http://dx.doi.org/10.1090/s0002-9939-99-04869-8.

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36

Elliott, Jesse. "Factoring formal power series over principal ideal domains." Transactions of the American Mathematical Society 366, no. 8 (March 26, 2014): 3997–4019. http://dx.doi.org/10.1090/s0002-9947-2014-05903-5.

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37

Kamgarpour, Masoud, and Travis Schedler. "Geometrization of principal series representations of reductive groups." Annales de l’institut Fourier 65, no. 5 (2015): 2273–330. http://dx.doi.org/10.5802/aif.2988.

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38

Mende, W., and M. Kock. "Oscillator strengths of the Sr I principal series." Journal of Physics B: Atomic, Molecular and Optical Physics 30, no. 23 (December 14, 1997): 5401–7. http://dx.doi.org/10.1088/0953-4075/30/23/008.

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39

Bershtein, Olga. "Degenerate principal series of quantum Harish–Chandra modules." Journal of Mathematical Physics 45, no. 10 (October 2004): 3800–3827. http://dx.doi.org/10.1063/1.1786348.

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40

Samadi, S. Yaser, L. Billard, M. R. Meshkani, and A. Khodadadi. "Canonical correlation for principal components of time series." Computational Statistics 32, no. 3 (June 18, 2016): 1191–212. http://dx.doi.org/10.1007/s00180-016-0667-1.

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41

Liu, Zhong Kui, and Wen Hui Zhang. "Principal quasi-Baerness of formal power series rings." Acta Mathematica Sinica, English Series 26, no. 11 (October 15, 2010): 2231–38. http://dx.doi.org/10.1007/s10114-010-7429-8.

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42

Lansangan, Joseph Ryan G., and Erniel B. Barrios. "Principal components analysis of nonstationary time series data." Statistics and Computing 19, no. 2 (August 1, 2008): 173–87. http://dx.doi.org/10.1007/s11222-008-9082-y.

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43

Yamana, Shunsuke. "Degenerate principal series representations for quaternionic unitary groups." Israel Journal of Mathematics 185, no. 1 (September 30, 2011): 77–124. http://dx.doi.org/10.1007/s11856-011-0102-9.

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44

Lee, Soo Teck, and Hung Yean Loke. "Degenerate principal series representations of Sp(p, q)." Israel Journal of Mathematics 137, no. 1 (December 2003): 355–79. http://dx.doi.org/10.1007/bf02785968.

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45

Zhang, Genkai. "Degenerate principal series representations and their holomorphic extensions." Advances in Mathematics 223, no. 5 (March 2010): 1495–520. http://dx.doi.org/10.1016/j.aim.2009.09.014.

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46

Miyazaki, Tadashi. "Principal series Whittaker functions on Sp(2,C)." Journal of Functional Analysis 261, no. 4 (August 2011): 1083–131. http://dx.doi.org/10.1016/j.jfa.2011.04.013.

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47

Lansky, Joshua M. "Parahoric fixed spaces in unramified principal series representations." Pacific Journal of Mathematics 204, no. 2 (June 1, 2002): 433–43. http://dx.doi.org/10.2140/pjm.2002.204.433.

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48

Raskin, Sam. "Chiral principal series categories I: Finite dimensional calculations." Advances in Mathematics 388 (September 2021): 107856. http://dx.doi.org/10.1016/j.aim.2021.107856.

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49

Hasegawa, Yasuko. "Principal series and generalized principal series Whittaker functions with peripheral K-types on the real symplectic group of rank 2." Manuscripta Mathematica 134, no. 1-2 (August 5, 2010): 91–122. http://dx.doi.org/10.1007/s00229-010-0385-x.

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50

Cummings, Alysa, Judith Lowenhar, and Karin Ciano. "Patient's Name: Principal Rx: Teacher TO Principal." Gifted Child Today Magazine 9, no. 6 (November 1986): 54–56. http://dx.doi.org/10.1177/107621758600900619.

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My principal paid a surprise visit to my g/c/t program last week, clipboard in hand. He wanted to do the yearly unannounced observation. The class was busily watching two students present an independent study project on unexplained phenomena. “Should I come back when you're really teaching?” he asked. Reassured that he was welcome, and that learning was indeed taking place, the principal took a seat at the back of the room. The two g/c/t students commanding center stage continued their presentation of research related to extrasensory perception using a series of handmade transparencies. A look of frustration appeared on the principal's face as he repeatedly scanned the teacher evaluation form, Cross pen in hand, and observed me merely sitting on the sidelines, a silent coach critiquing my players. The principal seemed unsure of how to evaluate such a differentiated learning experience. This incident just scratches the surface of some of the issues between the principal and myself. I need his support! What can I do to improve the relationship between the principal and the g/c/t program and me?
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