Search Results - "Goodwin, Simon M."

Rational points on generalized flag varieties and unipotent conjugacy in finite groups of Lie type by Goodwin, Simon M., Röhrle, Gerhard

“…Let G be a connected reductive algebraic group defined over the finite field \mathbb {F}_q, where q is a power of a good prime for G. We write F for the…”
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Modular finite W-algebras by Goodwin, Simon M, Topley, Lewis W

“…Abstract Let ${\mathbb{k}}$ be an algebraically closed field of characteristic p > 0 and let G be a connected reductive algebraic group over ${\mathbb{k}}$…”
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The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D4 by Goodwin, Simon M., Le, Tung, Magaard, Kay

“…Let U be a Sylow p-subgroup of the finite Chevalley group of type D 4 over the field of q elements, where q is a power of a prime p. We describe a construction…”
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Restricted shifted Yangians and restricted finite W-algebras by Simon M. Goodwin, Lewis Topley

“…We study the truncated shifted Yangian Y_{n,l}(\sigma ) over an algebraically closed field \Bbbk of characteristic p >0, which is known to be isomorphic to the…”
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Conjugacy Classes in Sylow p-Subgroups of Finite Chevalley Groups in Bad Characteristic by Bradley, John D., Goodwin, Simon M.

“…Let U = U(q) be a Sylow p-subgroup of a finite Chevalley group G = G(q). Röhrle and Goodwin in 2009 determined a parameterization of the conjugacy classes of…”
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COUNTING CONJUGACY CLASSES IN THE UNIPOTENT RADICAL OF PARABOLIC SUBGROUPS OF GLn(q) by GOODWIN, Simon M, RÖHRLE, Gerhard

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On $\mathfrak {sl}_{2}$-Triples for Classical Algebraic Groups in Positive Characteristic by Goodwin, Simon M., Pengelly, Rachel

“…Abstract Let $\mathbb {k}$ k be an algebraically closed field of characteristic p > 2. Let G be one of the classical algebraic groups $\text {GL}_{n}(\mathbb…”
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On the conjugacy classes in maximal unipotent subgroups of simple algebraic groups by GOODWIN, Simon M

“…Let G be a simple algebraic group over the algebraically closed field k of characteristic p ≥ 0. Assume p is zero or good for G. Let B be a Borel subgroup of…”
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On ð-~ð-'2-Triples for Classical Algebraic Groups in Positive Characteristic by Goodwin, Simon M, Pengelly, Rachel

“…Let k be an algebraically closed field of characteristic p > 2. Let G be one of the classical algebraic groups GLn(k), SLn(k), Spn(k), On(k) or SOn(k), and let…”
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On 𝖘𝖑2-Triples for Classical Algebraic Groups in Positive Characteristic by Goodwin, Simon M., Pengelly, Rachel

“…Let k be an algebraically closed field of characteristic p > 2. Let G be one of the classical algebraic groups GL n ( k ) , SL n ( k ) , Sp n ( k ) , O n ( k )…”
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Orbits of parabolic subgroups on metabelian ideals by Goodwin, Simon M., Hille, Lutz, Röhrle, Gerhard

“…Let k be an algebraically closed field, t ∈ Z ⩾ 1 , and let B be the Borel subgroup of GL t ( k ) consisting of upper-triangular matrices. Let Q be a parabolic…”
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The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E 8 by Goodwin, Simon M., Mosch, Peter, Röhrle, Gerhard

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The Modality of a Borel Subgroup in a Simple Algebraic Group of Type E8 by Goodwin, Simon M., Mosch, Peter, Röhrle, Gerhard

“…Let G be a simple algebraic group over an algebraically closed field k, where char k is either 0 or a good prime for G. We consider the modality of the action…”
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The generic character table of a Sylow p -subgroup of a finite Chevalley group of type D 4 by Goodwin, Simon M., Le, Tung, Magaard, Kay

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Constructing characters of Sylow p-subgroups of finite Chevalley groups by Goodwin, Simon M., Le, Tung, Magaard, Kay, Paolini, Alessandro

“…Let q be a power of a prime p, let G be a finite Chevalley group over Fq and let U be a Sylow p-subgroup of G; we assume that p is not a very bad prime for G…”
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Non-integral representation theory of even multiplicity finite W-algebras by Brown, Jonathan, Goodwin, Simon M.

“…We complete the classification of the finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent elements in…”
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A note on Verma modules for finite W-algebras by Goodwin, Simon M.

“…A finite W-algebra U ( g , e ) is a certain finitely generated algebra associated to a nilpotent element e of a complex reductive Lie algebra g . There is a…”
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Good grading polytopes by Brundan, Jonathan, Goodwin, Simon M.

“…Let 𝔤 be a finite-dimensional semisimple Lie algebra over ℂ and e ∈ 𝔤 a nilpotent element. Elashvili and Kac have recently classified all good ℤ-gradings for…”
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On changing highest weight theories for finite W-algebras by Brown, Jonathan, Goodwin, Simon M.

“…A highest weight theory for a finite W -algebra was developed in Brundan et al. (Int. Math. Res. Not. 15:rnn051, 2008 ). This leads to a strategy for…”
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Finite dimensional irreducible representations of finite W-algebras associated to even multiplicity nilpotent orbits in classical Lie algebras by Brown, Jonathan S., Goodwin, Simon M.

“…We consider finite W -algebras associated to even multiplicity nilpotent elements in classical Lie algebras. We give a classification of finite dimensional…”
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