Generating functions and multiplicity formulas: The case of rank two simple Lie algebras

DOI10.1063/1.4930806zbMath1357.17011arXiv1506.07815OpenAlexW1934113415MaRDI QIDQ3192699

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

Publication date: 13 October 2015

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

Full work available at URL: https://arxiv.org/abs/1506.07815

Mathematics Subject Classification ID

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

Related Items (5)

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 ⋮ The $q$-analog of Kostant's partition function and the highest root of the classical Lie algebras ⋮ On the generating function of weight multiplicities for the representations of the Lie algebra C2

Uses Software

• LiE

Cites Work

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• Three integrable Hamiltonian systems connected with isospectral deformations
• Completely integrable Hamiltonian systems connected with semisimple Lie algebras
• M-theory dynamics on a manifold of \(G_2\) holonomy
• Some new generating functions for weight multiplicities
• A Unified Theory Based on SO (5) Symmetry of Superconductivity and Antiferromagnetism
• String Theory and M-Theory
• Fast recursion formula for weight multiplicities
• Black-brane solution for C2 algebra
• On the generating function of weight multiplicities for the representations of the Lie algebra C2
• 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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