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Decomposing symmetric powers of certain modular representations of cyclic groups | | R.J. Shank
; D.L. Wehlau
; | | Date: |
2 Sep 2005 | | Subject: | Commutative Algebra; Representation Theory MSC-class: 13A50 | math.AC math.RT | | 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. | | Source: | arXiv, math.AC/0509044 | | Services: | Forum | Review | PDF | Favorites | |
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