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...

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Hlavní autoři: Fan, Zhaobing, Lai, Chun-Ju, Li, Yiqiang, Luo, Li, Wang, Weiqiang
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Providence, Rhode Island American Mathematical Society 2023
AMS, American Mathematical Society
Vydání:1
Edice:Memoirs of the American Mathematical Society
Témata:
Affine algebraic groups
Hecke algebras
Quantum groups
Schur complement
ISBN:9781470456269, 1470456265
ISSN:0065-9266, 1947-6221
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Popis
Shrnutí: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
Bibliografie: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