Generic Gelfand-Tsetlin modules of quantized and classical orthogonal algebras. (English) Zbl 1518.17019
Reviewer: Dmitry Artamonov (Moskva)
Found 16 Documents (Results 1–16)
Infinite dimensional multiplicity free spaces. III: Matrix coefficients and regular functions. (English) Zbl 1207.22012
Reviewer: Volodymyr Mazorchuk (Uppsala)
Alpha-determinant cyclic modules and Jacobi polynomials. With an appendix by Kazufumi Kimoto. (English) Zbl 1189.17009
Reviewer: Annegret Paul (Kalamazoo)
Infinite dimensional multiplicity free spaces. II: Limits of commutative nilmanifolds. (English) Zbl 1180.22021
Gordon, Carolyn S. (ed.) et al., New developments in Lie theory and geometry. Proceedings of the 6th workshop on Lie theory and geometry, Cruz Chica, Córdoba, Argentina, November 13–17, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4651-3/pbk). Contemporary Mathematics 491, 179-208 (2009).
Reviewer: Volodymyr Mazorchuk (Uppsala)
Principal Gelfand pairs. (English) Zbl 1108.22015
Reviewer: Dmitri Panyushev (Moskva)
Factorization of conditional expectations on Kac algebras and quantum double coset hypergroups. (English) Zbl 1097.46047
Ukr. Mat. Zh. 55, No. 12, 1669-1677 (2003) and Ukr. Math. J. 55, No. 12, 1994-2005 (2003).
Reviewer: Anatoly N. Kochubei (Kyïv)
Correspondences of the Gelfand invariants in reductive dual pairs. (English) Zbl 1048.17008
Reviewer: Volodymyr Mazorchuk (Uppsala)
Two dual pair methods in the study of generalized Whittaker models for irreducible highest weight modules. (English) Zbl 0989.22023
Heyer, Herbert (ed.) et al., Infinite dimensional harmonic analysis. Transactions of the 2nd Japanese-German symposium, University of Kyoto, Japan, September 20-24, 1999. Bamberg: D. u. M. Gräbner, 373-387 (2000).
Reviewer: Takeshi Kawazoe (Yokohama)
The quantum analog of a symmetric pair: a construction in type \((C_{n},A_{1}\times C_{n-1})\). (English) Zbl 0909.17012
Reviewer: Li Fang (Hangzhou)
MSC:
17B37
A Gelfand pair of compact quantum groups. (English. Russian original) Zbl 0861.17010
Funct. Anal. Appl. 29, No. 2, 126-129 (1995); translation from Funkts. Anal. Prilozh. 29, No. 2, 67-71 (1995).
Reviewer: A.Klimyk (Kiev)
Gelfand pair associated with a Hopf algebra and a coideal. (English) Zbl 0851.22003
Ukr. Math. J. 46, No. 8, 1157-1171 (1994) and Ukr. Mat. Zh. 46, No. 8, 1055-1066 (1994).
Gelfand pair associated with a Hopf algebra and a coideal. (English) Zbl 0840.22007
Reviewer: Li Fang (Nanjing)
On Gelfand-Kirillov dimensions of \((g,A)\)-modules. (English) Zbl 0760.22022
Reviewer: H.de Vries (Nijmegen)
Positive convolution structures associated with quantum groups. (English) Zbl 0823.60007
Heyer, Herbert (ed.), Probability measures on groups X. Proceedings of the tenth Oberwolfach conference, held November 4-10, 1990 in Oberwolfach, Germany. New York, NY: Plenum Publishing Corporation. 249-268 (1991).
Finite groups of Lie type. Conjugacy classes and complex characters. (English) Zbl 0567.20023
Pure and Applied Mathematics. A Wiley-Interscience Publication. Chichester-New York etc.: John Wiley and Sons. XII, 544 p. £42.50 (1985).
Reviewer: B.Srinivasan
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