Nonstandard U
q(so3) and U
q(so4): tensor products of representations, oscillator realizations and roots of unity |
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| Authors: | M Havlí?ek E Pelantová A Klimyk |
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| Affiliation: | (1) Department of Mathematics and Doppler Institute, FNSPE, Czech Technical University, CZ-120 00 Praha 2, Czech Republic;(2) Institute for Theoretical Physics, Kiev, 252143, Ukraine |
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| Abstract: | Nonstandard q-deformed algebras U
q(so3) and U
q(so4), which can be embedded into U
q(sl3) and U
q(sl4) and are coideals in them, are considered. It is shown how to multiply finite dimensional representations of U
q(so3) when q is positive. Homomorphisms from U
q(so3) and U
q(so4) to the q-oscillator algebras are given. By making use of these homomorphisms, irreducible representations of U
q(so3) and U
q(so4) for q equal to a root of unity are obtained. |
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| Keywords: | |
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