Explicit separating invariants for cyclic P-groups

Abstract. We consider a finite dimensional indecomposable modular representation of a cyclic p-group and we give a recursive description of an associated separating set: We show that a separating set for a representation can be obtained by adding to a separating set for any subrepresentation some explicitly defined invariant polynomials. Meanwhile, an explicit generating set for the invariant ring is known only in a handful of cases for these representations.

• Type: Journal
• Year: 2011
• Where: JCT
• Authors: Müfit Sezer
• Keywords: Indecomposable Modular Representation, Invariant Polynomials, JCT 2011, Separating Set