Affine Hecke algebras and quantum symmetric pairs / Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang.

Author
Fan, Zhaobing [Browse]
Format
Book
Language
English
Published/​Created
  • Providence, RI : American Mathematical Society, 2023.
  • ©2023
Description
ix, 92 pages : illustrations ; 26 cm

Details

Subject(s)
Author
Series
Memoirs of the American Mathematical Society ; v. 1386. [More in this series]
Summary note
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 modified coideal subalgebra is shown to admit monomial and stably canonical bases. We also formulate several variants of the affine Schur algebra and the (modified) coideal subalgebra above, as well as their monomial and canonical bases. This work provides a new and algebraic approach which complements and sheds new light on our previous geometric approach on the subject. In the appendix by four of the authors, new length formulas for the Weyl groups of affine classical types are obtained in a symmetrized fashion.
Bibliographic references
Includes bibliographical references (pages 91-92).
Contents
  • Part 1. Affine Schur algebras
  • Part 2. Affine quantum symmetric pairs.
ISBN
  • 1470456265 ((pbk.))
  • 9781470456269 ((pbk.))
OCLC
1360273973
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