On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sp}_6 (\mathbb{C})\)

DOI10.1007/s00200-022-00546-7arXiv2108.07217OpenAlexW4220878460WikidataQ113906108 ScholiaQ113906108MaRDI QIDQ6122410

Daniel C. Qin, Maria Alejandra Rodriguez Hertz, Pamela E. Harris, Peter Hollander

Publication date: 1 March 2024

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

Full work available at URL: https://arxiv.org/abs/2108.07217

zbMATH Keywords

\(q\)-weight multiplicities\(q\)-analog of Kostant's partition function

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10)

Cites Work

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• Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras
• On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sl}_4(\mathbb{C})\)
• When is the \(q\)-multiplicity of a weight a power of \(q\)?
• Kostant's weight multiplicity formula and the Fibonacci and Lucas numbers
• A FORMULA FOR THE MULTIPLICITY OF A WEIGHT
• Symmetry, Representations, and Invariants
• The $q$-analog of Kostant's partition function and the highest root of the classical Lie algebras

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