Speaker:  Aaron Lauve, Texas A&M University
Title:   Skew Littlewood–Richardson rules from Hopf algebras.
Time: 2:30 PM, Monday, October 26, 2009
Place:  Malott 206

Abstract:  We use a natural action of a Hopf algebra on its dual to study products of skew Schur functions in the ring of symmetric functions. The result is a version of the Littlewood-Richardson rule for skew Schur functions that simplifies, and proves, a conjecture of Assaf and McNamara (recent preprint). We also establish similar skew Littlewood-Richardson rules for Schur P- and Q-functions, and other families of functions in algebraic combinatorics. (This is joint work with Thomas Lam and Frank Sottile.)

October 14, 2009