KAZHDAN-LUSZTIG THEORY OF SUPER TYPE D AND QUANTUM SYMMETRIC PAIRS

被引:32
作者
Bao, Huanchen [1 ]
机构
[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA
关键词
Q-ANALOG; ALGEBRAS;
D O I
10.1090/ert/505
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We reformulate the Kazhdan-Lusztig theory for the BGG category O of Lie algebras of type D via the theory of canonical bases arising from quantum symmetric pairs initiated by Weiqiang Wang and the author. This is further applied to formulate and establish for the first time the Kazhdan-Lusztig theory for the BGG category O of the ortho-symplectic Lie superalgebra osp(2m|2n).
引用
收藏
页码:247 / 276
页数:30
相关论文
共 22 条
[1]  
Balagovic M., ARXIV150706276
[2]  
Bao H., ARXIV13100103V2
[3]  
Bao H., ARXIV14044000V3
[4]  
BEILINSON A, 1981, CR ACAD SCI I-MATH, V292, P15
[5]   Kazhdan-Luszti polynomials and character formulae for the Lie superalebra gl(m|n) [J].
Brundan, J .
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 16 (01) :185-231
[6]   KAZHDAN-LUSZTIG CONJECTURE AND HOLONOMIC SYSTEMS [J].
BRYLINSKI, JL ;
KASHIWARA, M .
INVENTIONES MATHEMATICAE, 1981, 64 (03) :387-410
[7]  
Cheng S.-J., 2012, Graduate Studies in Mathematics, V144
[8]  
Cheng S.-J., 2015, DUKE J MATH
[9]   Super duality and irreducible characters of ortho-symplectic Lie superalgebras [J].
Cheng, Shun-Jen ;
Lam, Ngau ;
Wang, Weiqiang .
INVENTIONES MATHEMATICAE, 2011, 183 (01) :189-224
[10]  
Ehrig M., ARXIV13101972