Non-Levi closed conjugacy classes of SOq(N)

被引:5
作者
Mudrov, Andrey [1 ]
机构
[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England
关键词
ZONAL SPHERICAL-FUNCTIONS; QUANTUM SYMMETRIC PAIRS; QUANTIZATION; POLYNOMIALS; ALGEBRAS; MATRIX;
D O I
10.1063/1.4816625
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We construct explicit quantization of semisimple conjugacy classes of the complex orthogonal group SO(N) with non-Levi isotropy subgroups through an operator realization on highest weight modules of the quantum group U-q(so(N)). (C) 2013 AIP Publishing LLC.
引用
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页数:24
相关论文
共 24 条
[1]  
[Anonymous], 1998, CLASSIC REV MATH MAT
[2]  
[Anonymous], 1987, P INT C MATH
[3]  
Ashton T., QUANTIZATION B UNPUB
[4]  
Chari V., 1995, GUIDE QUANTUM GROUPS
[5]   Explicit equivariant quantization on coadjoint orbits of GL(n, C) [J].
Donin, J ;
Mudrov, A .
LETTERS IN MATHEMATICAL PHYSICS, 2002, 62 (01) :17-32
[6]   Explicit quantization of dynamical R-matrices for finite dimensional semisimple Lie algebras [J].
Etingof, P ;
Schedler, T ;
Schiffmann, O .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 13 (03) :595-609
[7]  
Freund P., 1982, PHYS LETT B, V284, P283
[8]  
Jantzen J. C., 1996, Grad. Stud. Math., V6
[9]   QUANTUM R-MATRIX FOR THE GENERALIZED TODA SYSTEM [J].
JIMBO, M .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 102 (04) :537-547
[10]  
Kebe MS, 1996, CR ACAD SCI I-MATH, V322, P1