eb 1 99 6 Polynomial Algebras and Higher Spins
نویسنده
چکیده
Polynomial relations for generators of su(2) Lie algebra in arbitrary representations are found. They generalize usual relation for Pauli operators in spin 1/2 case and permit to construct modified Holstein-Primakoff transformations in finite dimensional Fock spaces. The connection between su(2) Lie algebra and q-oscillators with a root of unity q-parameter is considered. The meaning of the polynomial relations from the point of view of quantum mechanics on a sphere are discussed. on leave of absence from Nuclear Physics Institute, Moscow State University, 119899, Moscow, Russia
منابع مشابه
ar X iv : h ep - t h / 96 07 12 2 v 1 1 5 Ju l 1 99 6 Classical and quantum N = 1 super W ∞ - algebras
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We use the recently established higher-level Bailey lemma and Bose–Fermi polynomial identities for the minimal models M(p, p) to demonstrate the existence of a Bailey flow from M(p, p) to the coset models (A (1) 1 )N ×(A (1) 1 )N ′/(A (1) 1 )N+N ′ where N is a positive integer and N ′ is fractional, and to obtain Bose–Fermi identities for these models. The fermionic side of these identities is ...
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