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Colloquium: Dr. Laura Colmenarejo
November 11, 2022 @ 2:00 pm - 3:00 pm
Free
An insertion algorithm on multiset partitions with applications to diagram algebras
Dr. Laura Colmenarejo
Professor of Mathematics – NC State University
In algebraic combinatorics, the Robinson-Schensted-Knuth algorithm is a fundamental correspondence between words and pairs of semistandard tableaux illustrating identities of dimensions of irreducible representations of several groups. In this talk, I will present a generalization of the Robinson-Schensted-Knuth algorithm to the insertion of two-row arrays of multisets. This generalization leads to new enumerative results that have representation-theoretic interpretation as decomposition of centralizer algebras and the spaces they act on. I will also present a variant of this algorithm for diagram algebras that has the remarkable property that it is well-behaved with respect to restricting a representation to a subalgebra.
Refreshments will follow in E495