Weight zero in tensor-decomposable irreducible representations of simple algebraic groups

نویسندگان

چکیده

Let G be a simple algebraic group in defining characteristic p>0, and let V an irreducible G-module which is the tensor product of exactly two non-trivial modules. We obtain criterion for to have zero weight. In addition, we provide uniform representation Lie algebra over complex numbers multiple prescribed fundamental

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 2021

ISSN: ['1873-1376', '0022-4049']

DOI: https://doi.org/10.1016/j.jpaa.2021.106768