Two supercharacter theories for the parabolic subgroups in orthogonal and symplectic groups

Published 24 Mar 2020 in math.RT | (2003.10800v1)

Abstract: We construct two supercharacter theories (in the sense of P. Diaconis and I.M. Isaacs) for the parabolic subgroups in orthogonal and symplectic groups. For each supercharacter theory, we obtain a supercharacter analog of the A.A.Kirillov formula for irreducible characters of finite unipotent groups.

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A. N. Panov

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