Cellularity of generalized Schur algebras via Cauchy decomposition

نویسندگان

چکیده

We describe a generalization of Hashimoto and Kurano's Cauchy filtration for divided powers algebras. This is then used to provide cellular structure generalized Schur algebras associated an arbitrary algebra. Applications the cellularity wreath product A ? S d are also considered.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2021

ISSN: ['1090-266X', '0021-8693']

DOI: https://doi.org/10.1016/j.jalgebra.2020.12.022