典型文献
On Chevalley Restriction Theorem for Semi-reductive Algebraic Groups and Its Applications
文献摘要：
An algebraic group is called semi-reductive if it is a semi-direct product of a reductive subgroup and the unipotent radical.Such a semi-reductive algebraic group naturally arises and also plays a key role in the study of modular representations of non-classical finite-dimensional simple Lie algebras in positive characteristic,and some other cases.Let G be a connected semi-reductive algebraic group over an algebraically closed field F and g=Lie(G).It turns out that G has many same properties as reductive groups,such as the Bruhat decomposition.In this note,we obtain an analogue of classical Chevalley restriction theorem for g,which says that the G-invariant ring F[g]G is a polynomial ring if g satisfies a certain"positivity"condition suited for lots of cases we are interested in.As applications,we further investigate the nilpotent cones and resolutions of singularities for semi-reductive Lie algebras.
文献关键词：
中图分类号：
作者姓名：
Ke OU;Bin SHU;Yu Feng YAO
作者机构：
School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming 650221,P.R.China;School of Mathematical Sciences,East China Normal University,Shanghai 200241,P.R.China;Department of Mathematics,Shanghai Maritime University,Shanghai 201306,P.R.China
文献出处：
引用格式：
[1]Ke OU;Bin SHU;Yu Feng YAO-.On Chevalley Restriction Theorem for Semi-reductive Algebraic Groups and Its Applications)[J].数学学报（英文版）,2022(08):1421-1435
A类：
Chevalley,unipotent,algebraically,Bruhat
B类：
On,Restriction,Theorem,Semi,reductive,Algebraic,Groups,Its,Applications,An,called,semi,if,direct,product,subgroup,radical,Such,naturally,arises,also,plays,key,role,study,modular,representations,classical,finite,dimensional,simple,Lie,algebras,positive,characteristic,some,other,cases,Let,be,connected,over,closed,field,turns,out,that,has,many,same,properties,groups,such,decomposition,In,this,note,we,obtain,analogue,restriction,theorem,which,says,invariant,ring,polynomial,satisfies,certain,positivity,condition,suited,lots,are,interested,applications,further,investigate,nilpotent,cones,resolutions,singularities
AB值：
0.604624
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