Add to ORKGAbstract. In this paper we prove that in positive characteristics normal em-beddings of connected reductive groups are Frobenius split. As a consequence, they have rational singularities and thus are Cohen–Macaulay varieties. As an application, we study the particular case of reductive monoids, which are affine embeddings of their unit group. In particular, we show that the algebra of regular functions of a normal irreducible reductive monoid M has a good filtration for the action of the unit group of M. 1
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
This paper provides a proper identification of normal irreducible, regular algebraic monoids. The r...
Let G be a reductive algebraic group in classical types A, B, D and e be an element of its Lie algeb...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
Let K be a maximal unramified extension of a nonarchimedean local field of residual characteristic p...
AbstractLet X denote an equivariant embedding of a connected reductive group G over an algebraically...
Let X denote an equivariant embedding of a connected reductive group G over an algebraically closed ...
AbstractBy previous results of Putcha and the author, an irreducible algebraic monoid M is regular i...
Let G be a connected algebraic reductive group in types A, B, or D, and e be a nilpotent element of ...
We investigate the structure of root data by considering their decomposition as a product of a semis...
Let X be an equivariant embedding of a connected reductive group G over an algebraically closed fiel...
Let G be a connected reductive algebraic group over an algebraically closed field k of characteristi...
1. Let G be a split reductive linear algebraic group over a field k of characteristic zero. Consider...
Abstract. Fix a split connected reductive group G over a field k, and a positive integer r. For any ...
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
This paper provides a proper identification of normal irreducible, regular algebraic monoids. The r...
Let G be a reductive algebraic group in classical types A, B, D and e be an element of its Lie algeb...
Abstract. We study the geometry of algebraic monoids. We prove that the group of invertible elements...
AbstractLet M be a reductive monoid with a reductive unit group G. Clearly there is a natural G×G ac...
Let K be a maximal unramified extension of a nonarchimedean local field of residual characteristic p...
AbstractLet X denote an equivariant embedding of a connected reductive group G over an algebraically...
Let X denote an equivariant embedding of a connected reductive group G over an algebraically closed ...
AbstractBy previous results of Putcha and the author, an irreducible algebraic monoid M is regular i...
Let G be a connected algebraic reductive group in types A, B, or D, and e be a nilpotent element of ...
We investigate the structure of root data by considering their decomposition as a product of a semis...
Let X be an equivariant embedding of a connected reductive group G over an algebraically closed fiel...
Let G be a connected reductive algebraic group over an algebraically closed field k of characteristi...
1. Let G be a split reductive linear algebraic group over a field k of characteristic zero. Consider...
Abstract. Fix a split connected reductive group G over a field k, and a positive integer r. For any ...
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
This paper provides a proper identification of normal irreducible, regular algebraic monoids. The r...
Let G be a reductive algebraic group in classical types A, B, D and e be an element of its Lie algeb...