alexa Abstract | Explicit Calculations of Tensor Product Coefficients for E7
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article Open Access

Abstract

We propose a new method to calculate coupling coefficients of E7 tensor products. Our method is based on explicit use of E7 characters in the definition of a tensor product. When applying Weyl character formula for E7 Lie algebra, one needs to make sums over 2903040 elements of E7 Weyl group. To implement such enormous sums, we show we have a way which makes their calculations possible. This will be accomplished by decomposing an E7 character into 72 participating A7 characters.

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Author(s): Gungormez M and Karadayi HR

Keywords

Coupling coefficients, Lie algebra, Irreducible representations, Subdominants, Tensor coupling coefficients, Algebra, Combinatorics, Deformations Theory, Geometry, Harmonic Analysis, Homological Algebra, Homotopical Algebra, Latin Squares, Lie Theory, Lie Triple Systems, Loop Algebra, Operad Theory, Quantum Group, Quasi-Group, Representation theory, Super Algebras, Lie Superalgebra, Symmetric Spaces, Topologies, Lie Algebra

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