Generalized Pascal's triangles and singular elements of modules of Lie algebras

DOI10.1007/s11232-015-0357-0zbMath1397.17009OpenAlexW2207912261MaRDI QIDQ268979

Olga V. Postnova, Vladimir D. Lyakhovskiĭ

Publication date: 18 April 2016

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

Full work available at URL: https://doi.org/10.1007/s11232-015-0357-0

zbMATH Keywords

tensor product of modulestheory of Lie algebra representationWeyl formula

Mathematics Subject Classification ID

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

Cites Work

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• Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg model
• Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras
• Polynomial relations among characters coming from quantum affine algebras
• Multiplicity function for tensor powers of modules of the \(A_n\) algebra
• Introduction to Lie Algebras and Representation Theory

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