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).
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| Official URL http://dx.doi.org/10.1007/978-0-8176-4875-6_9 |
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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 |
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| 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) |
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