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20052012
most citedHighest weight theory for finite W-algebras

5 citations · 17 across the 13 of their papers we have counts for

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Showing 2006Show all

4 papers · 1 filter

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…

math.GR2006

The orbit structure of Dynkin curves

Simon M. Goodwin, Lutz Hille, Gerhard Roehrle

Let G be a simple algebraic group over an algebraically closed field k; assume that Char k is zero or good for G. Let \cB be the variety of Borel subgroups of G and let e in Lie G…

math.RT2006

Prehomogeneous spaces for Borel subgroups of general linear groups

Simon M. Goodwin, Lutz Hille

Let be an algebraically closed field. Let be the Borel subgroup of $\mGL_n(k)$ consisting of nonsingular upper triangular matrices. Let $\frb = \mLie B$ be the Lie algebra…

math.GR2006

Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type

Simon M Goodwin, Gerhard E Roehrle

Let be a connected reductive algebraic group defined over the finite field $\FF_q$, where is a power of a good prime for . We write for the Frobenius morphism of …