Sebastian Herpel

activity

20102015

most citedOn the smoothness of normalisers and the subalgebra structure of modular Lie algebras

3 citations · 4 across the 2 of their papers we have counts for

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5 papers · 1 filter

math.GR2015

Cocharacter-closure and spherical buildings

Michael Bate, Sebastian Herpel, Benjamin Martin +1

Let $k$ be a field, let $G$ be a reductive $k$ -group and $V$ an affine $k$ -variety on which $G$ acts. In this note we continue our study of the notion of cocharacter-closed $G (k)$ -…

math.GR2014★ 3 cited

On the smoothness of normalisers and the subalgebra structure of modular Lie algebras

Sebastian Herpel, David I. Stewart

We provide results on the smoothness of normalisers in connected reductive algebraic groups $G$ over fields $k$ of positive characteristic $p$ . Specifically we we give bounds on $p…

math.GR2013

G-complete reducibility in non-connected groups

Michael Bate, Sebastian Herpel, Benjamin Martin +1

In this paper we present an algorithm for determining whether a subgroup H of a non-connected reductive group G is G-completely reducible. The algorithm consists of a series of red…

math.GR2010

Complete reducibility and Steinberg endomorphisms

Sebastian Herpel, Gerhard Roehrle

Let G be a connected reductive algebraic group defined over an algebraically closed field of positive characteristic. We study a generalization of the notion of G-complete reducibi…

math.GR2010

On the Smoothness of Centralizers in Reductive Groups

Sebastian Herpel

Let G be a connected reductive algebraic group over an algebraically closed field k. In a recent paper, Bate, Martin, Röhrle and Tange show that every (smooth) subgroup of G is sep…