Frobenius splitting of certain rings of invariants

Lakshmibai, V. ; Raghavan, K. N. ; Sankaran, P. (2008) Frobenius splitting of certain rings of invariants Michigan Mathematical Journal, 57 . pp. 499-510. ISSN 0026-2285

PDF - Author Version

Official URL:


Let k be an algebraically closed field of characteristic p > 0, and V an n-dimensional k-vector space together with a non-degenerate symmetric bilinear form. Let G denote one of the groups G = SL(V ) or SO(V ) where we assume that p > 2 if G=SO(V ). Let R denote the coordinate ring of Vm,q := V⊕m . V ⊕*q (resp. Vm := V⊕m) if G = SL(V ) (resp. if G = SO(V )), V* being the dual of V . The defining representation of G on V induces the diagonal action of G on Vm,q (resp. Vm). Let S=RG. In this paper, we show that S is Frobenius split.

Item Type:Article
Source:Copyright of this article belongs to Department of Mathematics, The University of Michigan.
Keywords:Frobenius Splitting; Invariant Rings
ID Code:57709
Deposited On:29 Aug 2011 08:23
Last Modified:18 May 2016 09:01

Repository Staff Only: item control page