Article ID Journal Published Year Pages File Type
4589082 Journal of Algebra 2006 15 Pages PDF
Abstract

The symmetric coinvariant algebra C[x1,…,xn]Sn is the quotient algebra of the polynomial ring by the ideal generated by symmetric polynomials vanishing at the origin. It is known that the algebra is isomorphic to the regular representation of Sn.Replacing C[x] with A=C[x,y]/〈xy〉, we introduce another symmetric coinvariant algebra and determine its Sn-module structure. As an application, we determine the slr+1-module structure of the local Weyl module at a double point for slr+1⊗A.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory