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Boson representations of symplectic algebras

✍ Scribed by A. I. Georgieva; M. I. Ivanov; P. P. Raychev; R. P. Roussev

Publisher
Springer
Year
1986
Tongue
English
Weight
436 KB
Volume
25
Category
Article
ISSN
0020-7748

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We give two constructions for each fundamental representation of sp 2 n, ‫ރ‬ . We also present quantum versions of these constructions. These are explicit in the sense of the Gelfand᎐Tsetlin constructions of the irreducible representations of Ε½ . Ε½ . gl n, ‫ރ‬ : we explicitly specify the matrix elem

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✍ A Silverberg; Yu.G Zarhin πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 95 KB

2 g l Ε½ . Ε½ . which are not conjugate, even in GL Q , to a subgroup of Sp Z . 2 g l 2 g l Ε½ . However, it turns out and this is the main result of this paper that every 1 Silverberg thanks NSA and the Alexander-von-Humboldt Stiftung for financial support, and H. Lange and the Mathematics Institute