%0 Journal Article
%T Polynomial Algebras and Higher Spins
%A M. Chaichian
%A A. P. Demichev
%J Physics
%D 1996
%I arXiv
%R 10.1016/0375-9601(96)00631-7
%X 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.
%U http://arxiv.org/abs/hep-th/9602008v1