Nantilus
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...
Enregistré dans:
| 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 |
| LEADER | 02566cam a2200505 4500 | ||
|---|---|---|---|
| 001 | PPN23102617X | ||
| 003 | http://www.sudoc.fr/23102617X | ||
| 005 | 20230421055500.0 | ||
| 010 | |a 978-2-85629-889-3 |b br. | ||
| 035 | |a (OCoLC)1060649055 | ||
| 073 | 1 | |a 9782856298893 | |
| 100 | |a 20181022h20182018k y0frey0103 ba | ||
| 101 | 0 | |a eng |d eng |d fre | |
| 102 | |a FR | ||
| 105 | |a y a 001yy | ||
| 106 | |a r | ||
| 181 | |6 z01 |c txt |2 rdacontent | ||
| 181 | 1 | |6 z01 |a i# |b xxxe## | |
| 182 | |6 z01 |c n |2 rdamedia | ||
| 182 | 1 | |6 z01 |a n | |
| 183 | 1 | |6 z01 |a nga |2 rdacarrier | |
| 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] | ||
| 452 | | | |0 232350108 |t A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs |f Huanchen Bao, Weiqiang Wang |c Paris |n Société Mathématique de France |d 2018 | |
| 461 | | | |0 013566385 |t Astérisque |x 0303-1179 |v 402 | |
| 606 | |3 PPN032963645 |a Représentations d'algèbres de Lie |2 rameau | ||
| 606 | |3 PPN03547128X |a Lie, Superalgèbres de |2 rameau | ||
| 606 | |3 PPN033067961 |a Groupes quantiques |2 rameau | ||
| 686 | |a 17B10 |c 2010 |2 msc | ||
| 686 | |a 17B20 |c 2010 |2 msc | ||
| 686 | |a 17B37 |c 2010 |2 msc | ||
| 700 | 1 | |3 PPN231026277 |a Bao |b Huanchen |4 070 | |
| 701 | 1 | |3 PPN151185670 |a Wang |b Weiqiang |f 1970-.... |4 070 | |
| 801 | 3 | |a FR |b Abes |c 20190305 |g AFNOR | |
| 915 | |5 441092208:639598331 |b 22378 | ||
| 930 | |5 441092208:639598331 |b 441092208 |a AST/402 |j u | ||
| 979 | |a CCFA | ||
| 991 | |5 441092208:639598331 |a exemplaire créé automatiquement par l'ABES | ||
| 997 | |a CCFA |b 22378 |d CMB |e BAP |s d |c AST/402 | ||
| 998 | |a 850601 | ||