Explicit Calculations of Tensor Product Coefficients for E_7

Meltem Gungormez; Hasan R. Karadayi

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arXiv · 1508.03956

Explicit Calculations of Tensor Product Coefficients for E_7

Meltem Gungormez·Hasan R. Karadayi

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Abstract

We propose a new method to calculate coupling coefficients of E_7 tensor products. Our method is based on explicit use of E_7 characters in the definition of a tensor product. When applying Weyl character formula for E_7 Lie algebra, one needs to make sums over 2903040 elements of E_7 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 E_7 character into 72 participating A_7 characters.

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BibTeX RIS

Meltem Gungormez, Hasan R. Karadayi. 2015-08-17. Explicit Calculations of Tensor Product Coefficients for E_7. https://arxiv.org/abs/1508.03956

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