The 𝑞-Schur² algebra

Du, Jie; Scott, Leonard

doi:10.1090/S0002-9947-00-02262-5

The $q$-Schur${}^{2}$ algebra
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by Jie Du and Leonard Scott

Trans. Amer. Math. Soc. 352 (2000), 4325-4353

DOI: https://doi.org/10.1090/S0002-9947-00-02262-5

Published electronically: May 23, 2000

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Abstract:

We study a class of endomomorphism algebras of certain $q$-permutation modules over the Hecke algebra of type $B$, whose summands involve both parabolic and quasi-parabolic subgroups, and prove that these algebras are integrally free and quasi-hereditary, and are stable under base change. Some consequences for decomposition numbers are discussed.

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