A Decomposition of the Group Algebra of a Hyperoctahedral Group
Description:
The descent algebra of a Coxeter group is a subalgebra of the group algebra with interesting representation theoretic properties. For instance, the natural map from the descent algebra of the symmetric group to the character ring is a surjective algebra homomorphism, so the descent algebra implicitly encodes information about the representations of the symmetric group. However, this property does not hold for other Coxeter groups. Moreover, a complete set of primitive idempotents in the descent…
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Date:
December 2016
Creator:
Tomlin, Drew E
Partner:
UNT Libraries