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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 | Citation: | 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 | URI: | http://scholarbank.nus.edu.sg/handle/10635/104475 | ISSN: | 00029939 |
| Appears in Collections: | Staff Publications |
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