New approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs / Huanchen Bao and Weiqiang Wang.
Material type:
TextSeries: Asterisque ; 402.Publication details: Paris : Societe Mathematique de France, 2018.Description: vii, 134 pages ; 24 cmISBN: - 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 |
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| 510=4 As853 Fractional Sobolev inequalities : | 510=4 As853 Families of Berkovich spaces / | 510=4 As853 Parametrix for wave equations on a rough background III : | 510=4 As853 New approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs / | 510=4 As853 Resonances for homoclinic trapped sets / | 510=4 As853 Courbes et fibres vectoriels en theorie de Hodge p-adique / | 510=4 As853 Seminaire Bourbaki : |
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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