A Littlewood-Richardson rule for the Macdonald inner product and bimodules over wreath products

DOI10.1016/j.jalgebra.2015.05.022zbMath1362.16038arXiv1309.4510OpenAlexW2249677422MaRDI QIDQ259614

Erik Carlsson, Anthony M. Licata

Publication date: 17 March 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4510

zbMATH Keywords

combinatoricswreath productssymmetric functionsquantum algebracategorificationLittlewood RichardsonMacdonald inner product

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Symmetric functions and generalizations (05E05) Representations of finite symmetric groups (20C30) Hopf algebras and their applications (16T05) Connections of Hopf algebras with combinatorics (16T30)

Related Items (1)

A graphical calculus for the Jack inner product on symmetric functions

Cites Work

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• A generalization of the Littlewood-Richardson rule and the Robinson- Schensted-Knuth correspondence
• Heisenberg categorification and Hilbert schemes
• Heisenberg algebras and rational double affine Hecke algebras

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