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2016

Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions

4 years 4 months ago
Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
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.
Christine Bessenrodt, Vasu Tewari, Stephanie van W
Added 06 Apr 2016
Updated 06 Apr 2016
Type Journal
Year 2016
Where JCT
Authors Christine Bessenrodt, Vasu Tewari, Stephanie van Willigenburg
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