Abstract
In order to describe explicitly the algebra of invariants for a non-connected reductive subgroup G ⊑ GL(V) we apply the method of strata. For this we describe codimension 1 strata of the quotient V//G and study the normality property of their closures. We find some criteria for k[V]G to be polynomial or a hypersurface. Then we apply these results to complete the classification [Sh] of nonconnected simple groups G such that k[V]G is polynomial.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.