Article ID Journal Published Year Pages File Type
4655208 Journal of Combinatorial Theory, Series A 2016 28 Pages PDF
Abstract

The classical Littlewood–Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood–Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the famed version of the classical Littlewood–Richardson rule involving Yamanouchi words. Furthermore, both our rules contain this classical Littlewood–Richardson rule as a special case. We then apply our rules to combinatorially classify symmetric skew quasisymmetric Schur functions. This answers affirmatively a conjecture of Bessenrodt, Luoto and van Willigenburg.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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