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A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
We show that Hecke algebra of type B and a coideal subalgebra of the type A quantum group satisfy 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 arisi...
| Auteurs principaux : | , |
|---|---|
| Format : | Livre |
| Langue : | anglais |
| Titre complet : | A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs / Huanchen Bao, Weiqiang Wang |
| Publié : |
Paris :
Société mathématique de France
, 2018 |
| Description matérielle : | 1 vol. (VII-134 p.) |
| Collection : | Astérisque ; 402 |
| Sujets : | |
| Documents associés : | Autre format:
A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs Fait partie de l'ensemble: Astérisque |
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| 200 | 1 | |a A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs |f Huanchen Bao, Weiqiang Wang | |
| 210 | |a Paris |c Société mathématique de France |d 2018 | ||
| 215 | |a 1 vol. (VII-134 p.) |d 25 cm | ||
| 302 | |a Résumés en anglais et français | ||
| 305 | |a N° de : "Astérisque", ISSN 0303-1179, (2018) n° 402 | ||
| 320 | |a Bibliogr. p. [131]-134. Index | ||
| 330 | |a We show that Hecke algebra of type B and a coideal subalgebra of the type A quantum group satisfy 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 ortho-symplectic Lie superalgebras osp(2m + 1 | 2n). In particular, our approach provides a new formulation of the Kazhdan-Lusztig theory for Lie algebras of type B/C. [4e de couverture] | ||
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