su\((N)\) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles (Q2773145)
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scientific article; zbMATH DE number 1709286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | su\((N)\) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles |
scientific article; zbMATH DE number 1709286 |
Statements
19 May 2003
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tensor product multiplicities
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Lie algebra
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Berenstein-Zelevinsky method
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Dynkin labels
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su\((N)\) tensor product multiplicities and virtual Berenstein-Zelevinsky triangles (English)
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The generalized Berenstein-Zelevinsky (BZ) triangles are considered. The authors have proposed a new and explicit way of expressing the tensor product multiplicities of \(\text{su}(N)\). By virtue of virtual BZ triangles a polyhedral combinatorial expression for the \(\text{su}(N)\) tensor product multiplicities is obtained. It admits a simple measurement of the convex polytope volume in terms of a multiple sum formula. The obtained results can be applied to the computation of fusion rules in conformal field theory with affine Lie group symmetry.
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