In the 1970s, Almkvist and Fossum gave formulae which describe completely the decomposition of symmetric powers of modular representations of cyclic groups into indecomposable summands. We show how (in spite of the wildness of the representation type) some of their results can be generalized to representations of elementary abelian p-groups. Some applications to invariant theory will also be given.
Symmetric powers of modular representations of elementary abelian p-groups
Jonathan Elmer (Aberdeen)
Mon, 29/09/2014 - 17:30