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arXiv · 1410.2934

Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions

Christine Bessenrodt·Vasu V. Tewari·Stephanie J. van Willigenburg
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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.

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Christine Bessenrodt, Vasu V. Tewari, Stephanie J. van Willigenburg. 2015-08-31. Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions. https://arxiv.org/abs/1410.2934

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