Simon Goodwin's publications and preprints

Representation theory of type B and C standard Levi W-algebras
With J. S. Brown
On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras
With G. Röhrle
Principal W-algebras for GL(m|n)
With J. S. Brown and J. Brundan
Conjugacy classes in Sylow p-subgroups of finite Chevalley groups in bad characteristic
With J. D. Bradley
Non-integral representation theory of even multiplicity finite W-algebras
With J. S. Brown
On changing highest weight theories for finite W-algebras
With J. S. Brown
Journal of Algebraic Combinatorics (to appear)
Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras
With J. S. Brown
Mathematische Zeitschrift (to appear)
A note on Verma modules for finite W-algebras
Journal of Algebra 324 (2010), no. 8, 2058–2063.
Translation for finite W-algebras
Representation theory 15 (2011), 307–346.
On 1-dimensional representations of finite W-algebras associated to simple Lie algebras of exceptional type
With G. Röhrle and G. Ubly
LMS Journal of Computation and Mathematics 13 (2010), 357–369.
Counting conjugacy classes in the unipotent radical of parabolic subgroups of GL_n(q)
With G. Röhrle
Pacific Journal of Mathematics, 245 (2010), no. 1, 47–56
Highest weight theory for finite W-algebras
With J. Brundan and A. Kleshchev
International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn051
Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups
With G. Röhrle
Journal of Algebra 321 (2009), no. 11, 3321–3334.
Special Issue in Honor of Gus Lehrer
On conjugacy of unipotent elements in finite groups of Lie type
With G. Röhrle
Journal of Group Theory 12 (2009), no. 2, 235–245.
Orbits of parabolic subgroups on metabelian ideals
With L. Hille and G. Röhrle
Bulletin des Sciences Mathematiques 133 (2009), 82–91.
Parabolic conjugacy in general linear groups
With G. Röhrle
Journal of Algebraic Combinatorics 27 (2008), no. 1, 99–111.
Richardson elements for parabolic subgroups of classical groups in positive characteristic
With K. Baur
Algebras and Representation Theory, 11 (2008), no. 3, 275–297.
The orbit structure of Dynkin curves
With L. Hille and G. Röhrle
Mathematische Zeitschrift 257 (2007), no. 2, 439–451.
Prehomogeneous spaces for Borel subgroups of general linear groups
With L. Hille
Transformation Groups 12 (2007), no. 3, 475–498.
Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type
With G. Röhrle
Transactions of the American Mathematical Society 361 (2009), no. 1, 177–206.
Good grading polytopes
With J. Brundan
Proceedings of the London Mathematical Society, 94 (2007), no. 1, 155–180.
On generation of the root lattice by roots
Mathematical Proceedings of the Cambridge Philosophical Society, 142 (2007), no. 1, 41–45.
Counting conjugacy classes in Sylow p-subgroups of Chevalley groups
Journal of Pure and Applied Algebra 210 (2007), no. 1, 201–218.
Relative Springer isomorphisms
Journal of Algebra 290 (2005), no. 1, 266–281.
On the conjugacy classes of maximal unipotent subgroups of simple algebraic groups
Transformation Groups 11 (2006), no. 1, 51–76.
Algorithmic testing for dense orbits of Borel subgroups
Journal of Pure and Applied Algebra 197 (2005), no. 1–3, 171–181.
Program, Results
Prehomogeneous spaces for the coadjoint action of a parabolic group
Journal of Algebra 278 (2004), no. 2, 558–565.
Finite orbit modules for parabolic subgroups of exceptional groups
With G. Röhrle
Indagationes Mathematicae 15 (2004), no. 2, 189–207.
Prehomogeneous spaces for parabolic group actions in classical groups
With G. Röhrle
Journal of Algebra 276 (2004), no. 1, 383–398.
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