When is the \(q\)-multiplicity of a weight a power of \(q\)?

zbMath1422.05105arXiv1905.10319MaRDI QIDQ2327233

Anthony Simpson, Lisa Schneider, Margaret Rahmoeller, Pamela E. Harris

Publication date: 14 October 2019

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.10319

zbMATH Keywords

irreducible representationmultiplicityweightcomplex semisimple Lie algebraprimitive pair

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10)

Related Items

On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sl}_4(\mathbb{C})\) ⋮ On Kostant's weight \(q\)-multiplicity formula for \(\mathfrak{sp}_6 (\mathbb{C})\) ⋮ Weight \(q\)-multiplicities for representations of the exceptional Lie algebra \(\mathfrak{g}_2\)

Cites Work

• On the adjoint representation of \(\mathfrak{sl}_n\) and the Fibonacci numbers
• Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras
• Kostant's weight multiplicity formula and the Fibonacci and Lucas numbers
• Structure of representations generated by vectors of highest weight
• When is the multiplicity of a weight equal to 1?
• A FORMULA FOR THE MULTIPLICITY OF A WEIGHT
• Symmetry, Representations, and Invariants
• The adjoint representation of a classical Lie algebra and the support of Kostant's weight multiplicity formula
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