Pattern avoidance seen in multiplicities of maximal weights of affine Lie algebra representations

DOI10.1090/proc/13597zbMath1420.17025arXiv1509.01070OpenAlexW2963402092WikidataQ115290815 ScholiaQ115290815MaRDI QIDQ4590961

Masaki Watanabe, Shunsuke Tsuchioka

Publication date: 21 November 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.01070

zbMATH Keywords

Hecke algebrassymmetric groupsaffine Lie algebraspattern avoidanceplane partitionscategorificationweight multiplicitiesmodular representation theoryRSK correspondencemaximal weightsMullineux involutionorbit Lie algebrasLittelmann's path modelKashiwara's crystalquantum binomial coefficients

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (7)

Dominant maximal weights of highest weight modules and Young tableaux ⋮ Lattice paths, Young tableaux, and weight multiplicities ⋮ Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras ⋮ Representation type for block algebras of Hecke algebras of classical type ⋮ Catalan triangle numbers and binomial coefficients ⋮ Weight Multiplicities and Young Tableaux Through Affine Crystals ⋮ Multiplicities of some maximal dominant weights of the \(\widehat{s\ell }(n)\)-modules \(V (k \Lambda_0)\)

Cites Work

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