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arXiv · 2508.20509

Polynomial properties of unipotent radicals of parabolic subgroups in classical groups

Qingchun Hao·Yang Yang
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Abstract

Let $R_u^{X,d}$ denote the unipotent radical of a (proper) maximal standard parabolic subgroup of the classical group $\mathrm{Sp}_{2n}(q)$, $\mathrm{SO}_{2n}(q)$, or $\mathrm U_{2n}({q^2})$. This paper establishes explicit formulas for the number of irreducible characters of $R_u^{X,d}$ with degree $q^e$.

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Qingchun Hao, Yang Yang. 2025-08-28. Polynomial properties of unipotent radicals of parabolic subgroups in classical groups. https://arxiv.org/abs/2508.20509

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