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GOOD FILTRATIONS FOR GENERALIZED SCHUR ALGEBRAS

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Abstract

Given a quasi-hereditary superalgebra A, the first author and R. Muth have defined generalized Schur bi-superalgebras TA(n) and proved that these algebras are again quasi-hereditary. In particular, TA(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 TA(n) has a standard filtration.

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Authors and Affiliations

  1. Department of Mathematics, University of Oregon, Eugene, OR, 97403, USA

    ALEXANDER KLESHCHEV & ILAN WEINSCHELBAUM

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  1. ALEXANDER KLESHCHEV
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  2. ILAN WEINSCHELBAUM
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Correspondence to ALEXANDER KLESHCHEV.

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To the memory of James Humphreys

Alexander Kleshchev is supported by the NSF grant DMS-2101791.

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KLESHCHEV, A., WEINSCHELBAUM, I. GOOD FILTRATIONS FOR GENERALIZED SCHUR ALGEBRAS. Transformation Groups 28, 1165–1190 (2023). https://doi.org/10.1007/s00031-023-09795-3

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