The Nonstandard Deformation U'_q(so_n) For q a Root of Unity
作者： N. Z. Iorgov , A. U. Klimyk
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摘要: We describe properties of the nonstandard q-deformation U'_q(so_n) universal enveloping algebra U(so_n) Lie so_n which does not coincide with Drinfeld--Jimbo quantum U_q(so_n). In particular, it is shown that there exists an isomorphism from to U_q(sl_n) and finite dimensional irreducible representations separate elements this algebra. Irreducible algebras for q a root unity q^p=1 are given. The main class these act on p^N-dimensional linear space (where N number positive roots so_n) given by r=dim complex parameters. Some classes degenerate also described.
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