New approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs / Huanchen Bao and Weiqiang Wang.
Material type:
- 9782856298893
- 510=4 23 As853
Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
---|---|---|---|---|---|---|---|
Books | ISI Library, Kolkata | 510=4 As853 (Browse shelf(Opens below)) | Checked out | 08/11/2019 | C26643 |
Includes bibliographical references.
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.
Abstract also in French.
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