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arXiv · 0810.5513

Alvis-Curtis duality, central characters, and real-valued characters

C. Ryan Vinroot
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Abstract

We prove that Alvis-Curtis duality preserves the Frobenius-Schur indicators of characters of connected reductive groups of Lie type with connected center. This allows us to extend a result of D. Prasad which relates the Frobenius-Schur indicator of a regular real-valued character to its central character. We apply these results to compute the Frobenius-Schur indicators of certain real-valued, irreducible, Frobenius-invariant Deligne-Lusztig characters, and the Frobenius-Schur indicators of real-valued regular and semisimple characters of finite unitary groups.

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BibTeXRIS

C. Ryan Vinroot. 2008-10-30. Alvis-Curtis duality, central characters, and real-valued characters. https://arxiv.org/abs/0810.5513

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