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arXiv · 2601.00025

Identities of Irreducible Representations and Gassmann Equivalence

Alexander Kushkuley
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Abstract

Identities of complex irreducible representations of finite groups can be explicitly constructed from character value sets. Among other things, these identities determine representations up to Gassmann equivalency. Some examples of identities related to spherical space forms and to representations of finite $p$-groups are presented. Some old results on irreducible representations with the same identities are revisited

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Alexander Kushkuley. 2025-12-28. Identities of Irreducible Representations and Gassmann Equivalence. https://arxiv.org/abs/2601.00025

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