Seminar in Representation Theory
Schurification of polynomial quantum wreath products
2025/03/10 (Mon.) 14:00~15:00
- Date : 2025/03/10 (Mon.) 14:00~15:00
- Location : Seminar Room 638, Institute of Mathematics (NTU Campus)
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Speaker : Chun-Ju Lai (AS)
- Abstract : Given an algebra A, the Schurification is a procedure that produces an algebra S which enjoys favorable properties which relate the representation theory of A and that of S. The Schurification has been studied intensively for Hecke algebras of Coxeter groups. I’ll talk about a new theory of Schurification for algebras defined in terms of a Bernstein-Lusztig realization. We provide a unified proof for the Schur duality by developing a (geometric) theory of twisted convolution algebras. In parallel, we provide an algebraic Schurification via a Kashiwara-Miwa-Stern-type action on a Fock space. This provides new results for, among other examples, Vigneras' pro-p Iwahori Hecke algebras of type A, degenerate affine Hecke algebras, Kleshchev-Muth's affine zigzag algebras, and Rosso-Savage's affine Frobenius Hecke algebras. This is a joint work with Minets (MPIM).
