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Gelfand-Graev characters of the finite unitary groups
Thiem, Nathaniel Vinroot, C. Ryan
Thiem, Nathaniel
Vinroot, C. Ryan
Abstract
Gelfand-Graev characters and their degenerate counter parts have an important role in there presentation theory of finite groups of Lie type. Using a characteristic map to translate the character theory of the finite unitary groups into the language of symmetric functions, we study degenerate Gelfand-Graev characters of the finite unitary group from a combinatorial point of view. In particular, we give the values of Gelfand-Graev characters at arbitrary elements, recover the decomposition multiplicities of degenerate Gelfand-Graev characters in terms of tableau combinatorics, and conclude with some multiplicity consequences
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2009-01-01
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gefland_graev.pdf
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Mathematics