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Princeton University Library Catalog
Affine Hecke algebras and quantum symmetric pairs / Zhaobing Fan, Chun-Ju Lai, Yiqiang Li, Li Luo, Weiqiang Wang.
Providence, RI : American Mathematical Society, 2023.
ix, 92 pages : illustrations ; 26 cm
Wang, Weiqiang, 1970-
Memoirs of the American Mathematical Society ; v. 1386.
[More in this series]
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.
Includes bibliographical references (pages 91-92).
Part 1. Affine Schur algebras
Part 2. Affine quantum symmetric pairs.
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