On the generating function of weight multiplicities for the representations of the Lie algebra C2

DOI10.1063/1.4917054zbMath1387.17018arXiv1405.2758OpenAlexW2015918165WikidataQ115333216 ScholiaQ115333216MaRDI QIDQ5250057

José Fernández Núñez, W. García Fuertes, A. M. Perelomov

Publication date: 15 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.2758

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Generating functions and multiplicity formulas: The case of rank two simple Lie algebras ⋮ Computing weight \(q\)-multiplicities for the representations of the simple Lie algebras ⋮ Unnamed Item ⋮ Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ A density theorem for Sp(4)$\operatorname{Sp}(4)$ ⋮ Multiplicity formulas for fundamental strings of representations of classical Lie algebras ⋮ Euler's difference table and decomposition of tensor powers of adjoint representation of $A_n$ Lie algebra

Cites Work

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• Fast recursion formula for weight multiplicities
• Black-brane solution for C2 algebra
• A Formula For the Multiplicity of a Weight
• On an approach for computing the generating functions of the characters of simple Lie algebras
• On character generators for simple Lie algebras

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