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Title: Weyl's construction and tensor power decomposition for g2
Authors: Huang, J.-S.
Zhu, C.-B.O. 
Keywords: Cayley numbers
Invariant theory
Tensor power decomposition
Issue Date: 1999
Source: Huang, J.-S.,Zhu, C.-B.O. (1999). Weyl's construction and tensor power decomposition for g2. Proceedings of the American Mathematical Society 127 (3) : 925-934. ScholarBank@NUS Repository.
Abstract: Let V be the 7-dimensional irreducible representations of G2. We decompose the tensor power V⊗n into irreducible representations of G2 and obtain all irreducible representations of G2 in the decomposition. This generalizes Weyl's work on the construction of irreducible representations and decomposition of tensor products for classical groups to the exceptional group G2. © 1999 American Mathematical Society.
Source Title: Proceedings of the American Mathematical Society
ISSN: 00029939
Appears in Collections:Staff Publications

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