Good filtrations for generalized Schur algebras

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...

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Bibliographic Details
Published in:arXiv.org 2022-02
Main Authors: Kleshchev, Alexander, Weinschelbaum, Ilan
Format: Article
Language:English
Subjects:
Modules
Tensors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422