A matrix interpretation for the descent algebra of type D

Stephanie van Willigenburg

October 23,
refreshments at 3:45pm


For each Coxeter group we can partition the group elements in a certain way, and form a formal sum from the elements in each part. These formal sums form the basis of what is known as a descent algebra. Much study has gone into those algebras where the Coxeter group involved is either a symmetric group or a hyperoctahedral group. A vital tool in this study has been the existence of a "matrix interpretation" of multiplication in these algebras. In this talk I shall formulate such a matrix interpretation for the descent algebra of type D, and discuss results that it has suggested.

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Combinatorics Seminar, Mathematics Department, MIT, sara(at-sign)math.mit.edu

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