An insertion algorithm on multiset partitions with applications to diagram algebras

Laura Colmenarejo
Laura Colmenarejo
Rosa Orellana
Rosa Orellana
Franco Saliola
Franco Saliola

Journal of Algebra, pp. 97-128, 2020.

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Abstract:

We generalize 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 interpretations as decompositions of centralizer algebras and the spaces they act on. In addition, restrictions on the multisets lead to further ide...More

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