The PRV-formula for tensor product decompositions and its applications

DOI10.1007/s10688-008-0005-7zbMath1213.17008OpenAlexW2065242873MaRDI QIDQ1002792

Dmitri I. Panyushev, Oksana S. Yakimova

Publication date: 26 February 2009

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-008-0005-7

zbMATH Keywords

partition functionhighest weightsemisimple Lie algebratriple multiplicity

Mathematics Subject Classification ID

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

Related Items (2)

On the pro-semisimple completion of the fundamental group of a smooth variety over a finite field ⋮ Extensions of modules for twisted current algebras

Cites Work

• Tensor product multiplicities and convex polytopes in partition space
• Complexity and rank of double cones and tensor product decompositions
• On spherical double cones
• The sum of generalized exponents and Chevalley's restriction theorem for modules of covariants
• Representation of complex semi-simple Lie groups and Lie algebras
• A general Clebsch-Gordan theorem
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