S.A.G.B.I. bases for rings of formal modular seminvariants |
| |
Authors: | R J Shank |
| |
Institution: | (1) Department of Mathematics and Statistics, Queen's University, Kingston, Ontario, Canada, K7L 3N6, e-mail: shank@mast.queensu.ca, CA |
| |
Abstract: | We use the theory of S.A.G.B.I. bases to construct a generating set for the ring of invariants for the four and five dimensional
indecomposable modular representations of a cyclic group of prime order. We observe that for the four dimensional representation
the ring of invariants is generated in degrees less than or equal to 2p–3, and for the five dimensional representation the ring of invariants is generated in degrees less than or equal to 2p–2.
Received: January 22, 1997 |
| |
Keywords: | , Invariant theory, Indecomposable modular representation, |
本文献已被 SpringerLink 等数据库收录! |
|