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Abstract <p> We prove that a simple adjoint Chevalley group over a totally disconnected field has no nontrivial pseudocharacters and no bounded nontrivial finite-dimensional quasirepresentations. Therefore, every finite-dimensional quasirepresentation with sufficiently small defect of this group is close to an ordinary representation of the group. </p>

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Finite-Dimensional Continuous Quasirepresentations of Simple Adjoint Chevalley Groups over a Totally Disconnected Locally Compact Field

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • A.I. Shtern

摘要

Abstract

We prove that a simple adjoint Chevalley group over a totally disconnected field has no nontrivial pseudocharacters and no bounded nontrivial finite-dimensional quasirepresentations. Therefore, every finite-dimensional quasirepresentation with sufficiently small defect of this group is close to an ordinary representation of the group.