Unidirectional Littelmann paths for crystals of type \(A\) and rank 2

DOI10.1007/S10468-021-10063-9OpenAlexW3192023779MaRDI QIDQ2171056

Ola Amara-Omari, Mary Elizabeth Schaps

Publication date: 23 September 2022

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08720

zbMATH Keywords

highest weight representationaffine Lie algebraLittelmann pathe-regular multipartitionKashiwara crystal

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35)

Related Items (1)

Nonrecursive canonical basis computations for low rank Kashiwara crystals of type \(A\)

Cites Work

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• A non-recursive criterion for weights of a highest-weight module for an affine Lie algebra
• Weights of multipartitions and representations of Ariki-Koike algebras.
• An LLT-type algorithm for computing higher-level canonical bases
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• The crystal base and Littelmann's refined Demazure character formula
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Paths and root operators in representation theory
• Hecke algebras at roots of unity and crystal bases of quantum affine algebras
• Kleshchev multipartitions and extended Young diagrams
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• On the tensor product of two basic representations of \(U_v(\hat s l_e)\)
• Representation theory of symmetric groups and related Hecke algebras
• Maximal Strings in the Crystal Graph of Spin Representations of the Symmetric and Alternating Groups

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