Abstract
The concept of the character table of a generic Iwahori—Hecke algebra is introduced in [8] as a square matrix which maps under specialization to the character table of the corresponding Weyl group. The character tables for the series of Iwahori—Hecke algebras of type A n are determined by a recursion formula which was originally proved in Ram’s article [15] and by a different approach in [13]. The character tables of the Iwahori—Hecke algebras of exceptional type have been computed by Geek in [5] and [4] and by Geek and Michel in [7].
This article is part of the author’s Ph.D. thesis [14] under the direction of Prof. H. Pahlings. It is a contribution to the DFG research project “Algorithmic Number Theory and Algebra.” The author gratefully acknowledges financial support by the DFG and the Studienstiftung des deutschen Volkes.
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Pfeiffer, G. (1997). Character Values of Iwahori—Hecke Algebras of Type B. In: Cabanes, M. (eds) Finite Reductive Groups: Related Structures and Representations. Progress in Mathematics, vol 141. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4124-9_13
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DOI: https://doi.org/10.1007/978-1-4612-4124-9_13
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