论文标题

正交和符号群中的抛物线亚组的两个增压器理论

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

论文作者

Panov, A. N.

论文摘要

我们为正交和符号群中的抛物线亚组构造了两种急救杆理论(在Diaconis和I.M. Isaacs的意义上)。对于每个增压器理论,我们获得了A.A. kirillov公式的过度特性类似物,用于有限单位群的不可还原特征。

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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