Document Type
Article
Department/Program
Mathematics
Journal Title
Electronic Journal of Combinatorics
Pub Date
2009
Volume
16
Issue
1
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
Recommended Citation
Thiem, Nathaniel and Vinroot, C. Ryan, Gelfand-Graev characters of the finite unitary groups (2009). Electronic Journal of Combinatorics, 16(1).
https://scholarworks.wm.edu/aspubs/1105
