Good filtrations for generalized Schur algebras

2022/02/17 by Alexander Kleshchev, Kleshchev, Alexander, Ilan Weinschelbaum +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.2202.08866

arxiv created 2022/02/17 · openalex publication_date 2022/02/17 · arxiv updated 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a quasi-hereditary superalgebra A, the first author and R. Muth have defined generalized Schur bi-superalgebras T^A(n) and proved that these algebras are again quasi-hereditary. In particular, T^A(n) comes with a family of standard modules. Developing the work of Donkin and Mathieu on good filtrations, we prove that tensor product of standard modules over T^A(n) has a standard filtration.

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