External vertices for crystals of affine type A

DOI10.1007/S10468-022-10194-7OpenAlexW4312204968MaRDI QIDQ6146897

Ola Amara-Omari, Mary Elizabeth Schaps

Publication date: 15 January 2024

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

Full work available at URL: https://doi.org/10.1007/s10468-022-10194-7

zbMATH Keywords

highest weight representationcyclotomic Hecke algebrasaffine Lie algebraDonovan's conjecture

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representations of finite symmetric groups (20C30)

Cites Work

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• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• Perverse equivalences and Broué's conjecture.
• Blocks of cyclotomic Hecke algebras.
• Nonrecursive canonical basis computations for low rank Kashiwara crystals of type \(A\)
• 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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