On exterior powers of reflection representations

Hongsheng Hu

doi:10.1017/s0004972723000965

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arXiv · 2306.16946

On exterior powers of reflection representations

Hongsheng Hu

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Abstract

In 1968, R. Steinberg proved a theorem stating that the exterior powers of an irreducible reflection representation of a Euclidean reflection group are again irreducible and pairwise non-isomorphic. We extend this result to a more general context where the inner product invariant under the group action may not necessarily exist.

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Hongsheng Hu. 2023-06-29. On exterior powers of reflection representations. https://doi.org/10.1017/s0004972723000965

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