Decomposing symmetric powers of certain modular representations of cyclic groups

Shank, R.J. and Wehlau, D.L. (2009) Decomposing symmetric powers of certain modular representations of cyclic groups. In: Campbell, H.E.A. and Helminck, A.G. and Kraft, H. and Wehlau, D., eds. Symmetry and Spaces: In Honor of Gerry Schwarz. Progress in Mathematics, 278 . Birkhauser, Berlin, pp. 169-196. ISBN 978-0-8176-4874-9 (Print) 978-0-8176-4875-6 (Online). (Full text available)

PDF (Decomposing Symmetric Powers)
Download (307kB)
[img]
Preview
Official URL
http://dx.doi.org/10.1007/978-0-8176-4875-6_9

Abstract

For a prime number p, we construct a generating set for the ring of invariants for the p+1 dimensional indecomposable modular representation of a cyclic group of order p^2. We then use the constructed invariants to describe the decomposition of the symmetric algebra as a module over the group ring, confirming the Periodicity Conjecture of Ian Hughes and Gregor Kemper for this case.

Item Type: Book section
Additional information: The revised version of the paper includes a calculation of the Noether number of the p+1 dimensional modular indecomposable representation of the cyclic group of order p^2 and the Hilbert series of the corresponding ring of invariants
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: R James Shank
Date Deposited: 06 Jun 2008 17:15
Last Modified: 05 Sep 2011 23:31
Resource URI: http://kar.kent.ac.uk/id/eprint/3169 (The current URI for this page, for reference purposes)
  • Depositors only (login required):

Downloads

Downloads per month over past year