Explicit Calculations of Tensor Product Coefficients for E7Gungormez M* and Karadayi HR
Department of Physics, Faculty of Sciences and Letters, Istanbul Technical University, Maslak, 34469 Istanbul, Turkey
- *Corresponding Author:
- Gungormez M
Department of Physics, Faculty of Sciences and Letters
Istanbul Technical University, Maslak
34469 Istanbul, Turkey
Tel: +90 212 2853220
Fax: +90 212 2856386
E-mail: [email protected]
Received Date: October 28, 2016; Accepted Date: February 17, 2017; Published Date: February 27, 2017
Citation: Gungormez M, Karadayi HR (2017) Explicit Calculations of Tensor Product Coefficients for E7. J Generalized Lie Theory Appl 11: 254. doi: 10.4172/1736- 4337.1000254
Copyright: © 2017 Gungormez M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.