Affine Hecke algebras and quantum symmetric pairs

We introduce an affine Schur algebra via the affine Hecke algebra associated to Weyl group of affine type C. We establish multiplication formulas on the affine Hecke algebra and affine Schur algebra. Then we construct monomial bases and canonical bases for the affine Schur algebra. The multiplicatio...

Full description

Saved in:
Bibliographic Details
Main Authors Fan, Zhaobing, Lai, Chun-Ju, Li, Yiqiang, Luo, Li, Wang, Weiqiang
Format eBook Book
LanguageEnglish
Published Providence, Rhode Island American Mathematical Society 2023
AMS, American Mathematical Society
Edition1
SeriesMemoirs of the American Mathematical Society
Subjects
Affine algebraic groups
Hecke algebras
Quantum groups
Schur complement
Online AccessGet full text

Cover

More Information
Summary:We introduce an affine Schur algebra via the affine Hecke algebra associated to Weyl group of affine type C. We establish multiplication formulas on the affine Hecke algebra and affine Schur algebra. Then we construct monomial bases and canonical bases for the affine Schur algebra. The multiplication formula allows us to establish a stabilization property of the family of affine Schur algebras that leads to the modified version of an algebra
Bibliography:Other authors:Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang
January 2023, volume 281, number 1386 (first of 6 numbers)
Includes bibliographical references (p. 91-92)
ISBN:9781470456269
1470456265
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1386