A closed formula for weight multiplicities of representations of \(\text{Sp}(\mathbb C)\)

DOI10.1007/s00229-004-0499-0zbMath1069.17001OpenAlexW1980192419MaRDI QIDQ706177

Leandro Cagliero, Paulo Tirao

Publication date: 2 February 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0499-0

zbMATH Keywords

multiplicityrepresentationLie algebraLie groupweight

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Semisimple Lie groups and their representations (22E46)

Related Items (11)

Faces and maximizer subsets of highest weight modules ⋮ On counting cuspidal automorphic representations for \(\mathrm{GSp(4)}\) ⋮ Spectra of orbifolds with cyclic fundamental groups ⋮ Structure of certain Weyl modules for the spin groups ⋮ An algorithm for computing weight multiplicities in irreducible modules for complex semisimple Lie algebras ⋮ Multiplicity formulas for fundamental strings of representations of classical Lie algebras ⋮ Retraction notice to: ``Irreducible \(\text{SL}_{n+1}\)-representations remain indecomposable restricted to some abelian subalgebras ⋮ Dimension of zero weight space: an algebro-geometric approach ⋮ Chopped and sliced cones and representations of Kac-Moody algebras ⋮ Indecomposable representations of the Diamond Lie algebra ⋮ An Elementary Approach to Weight Multiplicities in Bivariate Irreducible Representations of Sp(2r)

Cites Work

• The cohomology of the cotangent bundle of Heisenberg groups.
• Paths and root operators in representation theory
• A new formula for weight multiplicities and characters
• A Formula For the Multiplicity of a Weight
• Introduction to Lie Algebras and Representation Theory
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