3 papers
math.RT2009★ 2 cited
Translation for finite W-algebras
Simon M. Goodwin
A finite -algebra $U(\g,e)$ is a certain finitely generated algebra that can be viewed as the enveloping algebra of the Slodowy slice to the adjoint orbit of a nilpotent element…
math.GR2009★ 1 cited
Counting conjugacy classes in the unipotent radical of parabolic subgroups of $\GL_n(q)$
Simon M. Goodwin, Gerhard Roehrle
Let be a power of a prime . Let be a parabolic subgroup of the general linear group $\GL_n(q)$ that is the stabilizer of a flag in $\FF_q^n$ of length at most 5, and let…
math.GR2006
Parabolic conjugacy in general linear groups
Simon M. Goodwin, Gerhard Roehrle
Let q be a power of a prime and n a positive integer. Let P(q) be a parabolic subgroup of the finite general linear group GL(n,q). We show that the number of P(q)-conjugacy classes…