New supercharacter theory for Sylow subgroups in orthogonal and symplectic groups

2018/08/26 by Panov, A. N.
#20C33 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1808.08539

Abstract

Applying the embedding of A_n-1 in B_n, C_n and D_n we construct a new supercharacter theory for the Sylow subgroups in orthogonal and symplectic groups over a finite field. The constructed supercharacter appears to be a little bit more precise than the previously known one.

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