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Decomposition of tensor products of the fundamental representations of \(E_8\). (English) Zbl 0933.17006

Vinet, Luc (ed.), Advances in mathematical sciences: CRM’s 25 years. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 11, 329-355 (1997).
Authors’ abstract: The tensor products of all pairs of the eight fundamental representations of the simple Lie algebra of type \(E_8\) are decomposed into the direct sums of irreducible representations. Simultaneously the tensor products of pairs of Weyl group orbits of fundamental weights are decomposed into the direct sums of irreducible orbits. Both decompositions are presented in the same table.
For the entire collection see [Zbl 0879.00006].

MSC:

17B25 Exceptional (super)algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)