Modular synthesis of symmetric proazaphosphatranes bearing heteroatom groups

Modular Representations of Symmetric Groups

Over the last few weeks, we have seen lots of things in representation theory—we began by looking at an onslaught of examples to see explicitly what representations look like, we discussed character theory and looked at character tables, we talked about representations from a module-theoretic perspective, and then we saw how we can model the representation theory of the symmetric group via the ...

Decomposing Symmetric Powers of Certain Modular Representations of Cyclic Groups

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. 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.

Resolutions of p-Modular TQFT’s and Representations of Symmetric Groups

On Tensor Products of Modular Representations of Symmetric Groups

Branching Rules for Modular Representations of Symmetric Groups, Iv