Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents

Rod Gow; C. Ryan Vinroot

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arXiv · 0704.2022

Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents

Rod Gow·C. Ryan Vinroot

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Abstract

When n is odd, consider the finite general linear and unitary groups of rank n, extended by the inverse transpose automorphism. There are elements in the extended groups which square to a regular unipotent element, and we evaluate the values of irreducible characters of the extended groups on these elements. Several intermediate results on real conjugacy classes and real-valued characters of these groups are obtained along the way.

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BibTeX RIS

Rod Gow, C. Ryan Vinroot. 2007-04-16. Extending real-valued characters of finite general linear and unitary groups on elements related to regular unipotents. https://arxiv.org/abs/0704.2022

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