TY  - BOOK
AU  - Bao,Huanchen
AU  - Wang,Weiqiang
TI  - New approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
T2  - Asterisque,
SN  - 9782856298893
U1  - 510=4 23
PY  - 2018///
CY  - Paris :  
PB  - Societe Mathematique de France, 
KW  - Kazhdan-Lusztig polynomials
KW  - Lie superalgebras
KW  - Hecke algebras
KW  - Quantum groups
N1  - Includes bibliographical references
N2  - We show that Hecke algebra of type B and a coideal subalgebra of the type A quantum group satsify a double centralizer property, generalizing the Schur-Jimbo duality in type A. The quantum group of type A and its coideal subalgebra form a quantum symmetric pair. A new theory of canonical bases arising from quantum symmetric pairs is initiated. It is then applied to formulate and establish for the first time a Kazhdan-Lusztig theory for the BGG category [O] of the orthosymplectic Lie superalgebras osp(2m + 1[vertical bar]2n). In particular, our approach provides a new formulation of the Kazhdan-Lusztig theory for Lie algebras of type B/C
ER  -