Generating-function method for tensor products

DOI10.1063/1.1286511zbMath1016.17017arXivmath-ph/0005003OpenAlexW3105796242MaRDI QIDQ2738273

C. J. Cummins, L. Begin, Pierre Mathieu

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/math-ph/0005003

zbMATH Keywords

affine Lie algebrasfusion rulesgenerating-function method

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

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Cites Work

• Triple multiplicities for \(s\ell (r+1)\) and the spectrum of the exterior algebra of the adjoint representation
• Generating functions for WZNW fusion rules
• Tensor product multiplicities and convex polytopes in partition space
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• An algorithm to generate the basis of solutions to homogeneous linear Diophantine equations
• Berenstein-Zelevinsky triangles, elementary couplings, and fusion rules
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Generating-function method for fusion rules
• Generating functions for IR multiplicities
• Kronecker products for compact semisimple Lie groups
• Explicit O (5) Wigner coefficients
• Generating functions and elementary Young tableaux