A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs /
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| Author / Creator: | Bao, Huanchen, author. |
|---|---|
| Imprint: | Paris : Société Mathématique de France, 2018. ©2018 |
| Description: | vii, 134 pages ; 24 cm. |
| Language: | English |
| Series: | Astérisque, 0303-1179 ; 402 Astérisque ; 402. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11730659 |
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| 020 | |a 9782856298893 |q (paperback) | ||
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| 049 | |a CGUA | ||
| 050 | 1 | 4 | |a QA252.3 |b .B36 2018 |
| 050 | 1 | 4 | |a QA1 |b .A85 no. 402 |
| 100 | 1 | |a Bao, Huanchen, |e author. |1 http://viaf.org/viaf/1157155284864087061934 | |
| 245 | 1 | 2 | |a A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs / |c Huanchen Bao, Weiqiang Wang. |
| 264 | 1 | |a Paris : |b Société Mathématique de France, |c 2018. | |
| 264 | 4 | |c ©2018 | |
| 300 | |a vii, 134 pages ; |c 24 cm. | ||
| 336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Astérisque, |x 0303-1179 ; |v 402 | |
| 504 | |a Includes bibliographical references (pages 131-134). | ||
| 520 | 3 | |a 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. | |
| 546 | |a Abstract also in French. | ||
| 650 | 0 | |a Kazhdan-Lusztig polynomials. |0 http://id.loc.gov/authorities/subjects/sh87001216 | |
| 650 | 0 | |a Lie superalgebras. |0 http://id.loc.gov/authorities/subjects/sh94002764 | |
| 650 | 0 | |a Hecke algebras. |0 http://id.loc.gov/authorities/subjects/sh90002586 | |
| 650 | 0 | |a Quantum groups. |0 http://id.loc.gov/authorities/subjects/sh90005801 | |
| 650 | 7 | |a Hecke algebras. |2 fast |0 (OCoLC)fst00954423 | |
| 650 | 7 | |a Kazhdan-Lusztig polynomials. |2 fast |0 (OCoLC)fst00986655 | |
| 650 | 7 | |a Lie superalgebras. |2 fast |0 (OCoLC)fst00998136 | |
| 650 | 7 | |a Quantum groups. |2 fast |0 (OCoLC)fst01085113 | |
| 700 | 1 | |a Wang, Weiqiang, |d 1970- |e author. |0 http://id.loc.gov/authorities/names/n2010067417 |1 http://viaf.org/viaf/135115186 | |
| 830 | 0 | |a Astérisque ; |v 402. | |
| 903 | |a HeVa | ||
| 929 | |a cat | ||
| 999 | f | f | |i cc271832-3222-582a-86a6-4086c027ae3f |s 4465963d-9315-5dc6-80f3-338b33ffbc9f |
| 928 | |t Library of Congress classification |a QA252.3.B36 2018 |l Eck |c Eck-Eck |i 11175230 | ||
| 927 | |t Library of Congress classification |a QA252.3.B36 2018 |l Eck |c Eck-Eck |g SEPS |b 115748397 |i 10043849 | ||