A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs /

A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs /

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Bibliographic Details
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:	Kazhdan-Lusztig polynomials. Lie superalgebras. Hecke algebras. Quantum groups. Hecke algebras. Kazhdan-Lusztig polynomials. Lie superalgebras. Quantum groups.
Format:	Print Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11730659

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Other authors / contributors:	Wang, Weiqiang, 1970- author.
ISBN:	9782856298893 2856298893
Notes:	Includes bibliographical references (pages 131-134). Abstract also in French.
Summary:	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.

Eckhart

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Call Number:	QA252.3.B36 2018
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