On an approach for computing the generating functions of the characters of simple Lie algebras

DOI10.1088/1751-8113/47/14/145202zbMath1287.81057arXiv1304.7203OpenAlexW3101689759MaRDI QIDQ5414095

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

Publication date: 2 May 2014

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

Full work available at URL: https://arxiv.org/abs/1304.7203

zbMATH Keywords

Lie algebrasrepresentation theoryquantum integrable systems

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Groups and algebras in quantum theory and relations with integrable systems (81R12) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (7)

Highest weight generating functions for hyperKähler \(T^*(G/H)\) spaces ⋮ Generating functions and multiplicity formulas: The case of rank two simple Lie algebras ⋮ Generating functions for characters and weight multiplicities of irreducible 𝓈𝓁(4)-modules ⋮ 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 ⋮ A note on Franel numbers and \(\mathrm{SU}(3)\) ⋮ On the generating function of weight multiplicities for the representations of the Lie algebra C2

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