Pseudorepresentations not arising from genuine representations

Jinyue Luo

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arXiv · 2310.16953

Pseudorepresentations not arising from genuine representations

Jinyue Luo

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Abstract

We show that a pseudorepresentation $\textbf{D}\colon A[G] \to A$ of a (finite) group $G$ need not arise from a genuine representation, even if one is allowed to extend the ring $A$. This shows that a theorem of the "embedding problem" for residually multiplicity free pseudorepresentations can not be extended to the general setting.

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Jinyue Luo. 2023-10-25. Pseudorepresentations not arising from genuine representations. https://arxiv.org/abs/2310.16953

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