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arXiv · 2107.00794

The Steinberg representation is irreducible

Andrew Putman·Andrew Snowden
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Abstract

We prove that the Steinberg representation of a connected reductive group over an infinite field is irreducible. For finite fields, this is a classical theorem of Steinberg and Curtis.

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Andrew Putman, Andrew Snowden. 2021-07-02. The Steinberg representation is irreducible. https://doi.org/10.1215/00127094-2022-0016

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