Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras

DOI10.1007/s00200-017-0346-7zbMath1436.17011arXiv1710.02183OpenAlexW2962910645WikidataQ115389026 ScholiaQ115389026MaRDI QIDQ1656836

Erik Insko, Anthony Simpson, Pamela E. Harris

Publication date: 10 August 2018

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.02183

zbMATH Keywords

Kostant's weight multiplicity formularepresentations of simple Lie algebras\(q\)-analog of Kostant's weight multiplicity formula

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20) Computational methods for problems pertaining to nonassociative rings and algebras (17-08)

Related Items (8)

On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sl}_4(\mathbb{C})\) ⋮ Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras ⋮ On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sp}_6 (\mathbb{C})\) ⋮ Kostant's partition function and magic multiplex juggling sequences ⋮ Weight \(q\)-multiplicities for representations of the exceptional Lie algebra \(\mathfrak{g}_2\) ⋮ lie_algebras ⋮ When is the \(q\)-multiplicity of a weight a power of \(q\)? ⋮ Pre-canonical bases on affine Hecke algebras

Uses Software

• SageMath
• GitHub

Cites Work

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