Formulas for multiplicities of occurrence of irreducible components in the tensor product of representations of simple Lie algebras

DOI10.1007/BF02362776zbMath0860.17008MaRDI QIDQ1336118

Anatol N. Kirillov, Nicolai Reshetikhin

Publication date: 17 October 1994

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

tensor products Yangians simple Lie algebras representations of special type combinatorial formulas for multiplicities

Mathematics Subject Classification ID

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

Related Items (9)

Generalized Pascal's triangles and singular elements of modules of Lie algebras ⋮ \(\tau\)-functions, Birkhoff factorizations and difference equations ⋮ Multiplicity function for tensor powers of modules of the \(A_n\) algebra ⋮ Properties of maximums of the multiplicity function ⋮ Transfer matrices of rational spin chains via novel BGG-type resolutions ⋮ Composing arbitrarily many \(SU(N)\) fundamentals ⋮ Generalizations of 𝑄-systems and orthogonal polynomials from representation theory ⋮ Quantum groups for restricted SOS models ⋮ \(Q\)-systems as cluster algebras. II: Cartan matrix of finite type and the polynomial property

Cites Work

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