Schur functions and affine Lie algebras

DOI10.1006/jabr.1998.7453zbMath0989.17018OpenAlexW2055735370WikidataQ115395885 ScholiaQ115395885MaRDI QIDQ1276980

Bernard Leclerc, Séverine Leidwanger

Publication date: 26 April 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7453

zbMATH Keywords

Schur functionsintertwining operatoraffine Lie algebras

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (3)

Unnamed Item ⋮ Schur function identities arising from the basic representation of \(A^{(2)}_2\) ⋮ Basic representations of \(A_{n-1}^{(1)}\) and \(A_{2n}^{(2)}\) and the combinatorics of partitions

Uses Software

• Maple
• SCHUR
• ACE

Cites Work

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• Some combinatorial results involving shifted Young diagrams
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• A Determinantal Formula for Skew Q -Functions
• Enumerative geometry of degeneracy loci
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• Weight vectors of the basic A₁⁽¹⁾-module and the Littlewood-Richardson rule
• Basic representations of A_2l⁽²⁾and D_l+1⁽²⁾and the polynomial solutions to the reduced BKP hierarchies
• Modular representations of symmetric groups

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