Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Goodwin, Simon M."'
Let $G$ be a reductive algebraic group over an algebraically closed field $k$ of prime characteristic not $2$, whose Lie algebra is denoted $\mathfrak{g}$. We call a subvariety $\mathfrak{X}$ of the nilpotent cone $N \subset \mathfrak{g}$ monogamous
Externí odkaz:
http://arxiv.org/abs/2406.20025
A distinguished family of completely prime primitive ideals in the universal enveloping algebra of a reductive Lie algebra ${\mathfrak g}$ over ${\mathbb C}$ are those ideals constructed from one-dimensional representations of finite $W$-algebras. We
Externí odkaz:
http://arxiv.org/abs/2311.10603
Autor:
Goodwin, Simon M., Pengelly, Rachel
Let $k$ be an algebraically closed field of characteristic $p > 2$, let $n \in \mathbb Z_{>0}$, and take $G$ to be one of the classical algebraic groups $\mathrm{GL}_n(k)$, $\mathrm{SL}_n(k)$, $\mathrm{Sp}_n(k)$, $\mathrm O_n(k)$ or $\mathrm{SO}_n(k)
Externí odkaz:
http://arxiv.org/abs/2108.04286
Autor:
Goodwin, Simon M., Topley, Lewis
We study the truncated shifted Yangian $Y_{n,l}(\sigma)$ over an algebraically closed field $\mathbb{k}$ of characteristic $p > 0$, which is known to be isomorphic to the finite $W$-algebra $U(\mathfrak{g}, e)$ associated to a corresponding nilpotent
Externí odkaz:
http://arxiv.org/abs/1903.03079
Autor:
Goodwin, Simon M., Topley, Lewis
Publikováno v:
Compositio Math. 155 (2019) 1594-1617
Let $\mathfrak g = \mathfrak{gl}_N(k)$, where $k$ is an algebraically closed field of characteristic $p > 0$, and $N \in \mathbb Z_{\ge 1}$. Let $\chi \in \mathfrak g^*$ and denote by $U_\chi(\mathfrak g)$ the corresponding reduced enveloping algebra
Externí odkaz:
http://arxiv.org/abs/1805.01327
Autor:
Brown, Jonathan, Goodwin, Simon M.
Let $\mathfrak g$ be a simple Lie algebra over $\mathbb C$ and let $e \in \mathfrak g$ be nilpotent. We consider the finite $W$-algebra $U(\mathfrak g,e)$ associated to $e$ and the problem of determining the variety $\mathcal E(\mathfrak g,e)$ of 1-d
Externí odkaz:
http://arxiv.org/abs/1708.08609
Autor:
Goodwin, Simon M., Topley, Lewis W.
Let $k$ be an algebraically closed field of characteristic $p > 0$ and let $G$ be a connected reductive algebraic group over $k$. Under some standard hypothesis on $G$, we give a direct approach to the finite $W$-algebra $U(\mathfrak g,e)$ associated
Externí odkaz:
http://arxiv.org/abs/1705.06223
Autor:
Goodwin, Simon M., Pengelly, Rachel
Publikováno v:
Transformation Groups; Sep2024, Vol. 29 Issue 3, p1005-1027, 23p
Autor:
Brundan, Jonathan, Goodwin, Simon M.
Publikováno v:
Adv. Math. 347 (2019), 273-339
Let $W_{m|n}$ be the (finite) $W$-algebra attached to the principal nilpotent orbit in the general linear Lie superalgebra $\mathfrak{gl}_{m|n}(\mathbb{C})$. In this paper we study the {\em Whittaker coinvariants functor}, which is an exact functor f
Externí odkaz:
http://arxiv.org/abs/1612.08152
Autor:
Goddard, Russell, Goodwin, Simon M.
Let $G$ be a connected reductive algebraic group over an algebraically closed field $k$, and assume that the characteristic of $k$ is zero or a pretty good prime for $G$. Let $P$ be a parabolic subgroup of $G$ and let $\mathfrak p$ be the Lie algebra
Externí odkaz:
http://arxiv.org/abs/1606.02262