Representations of the cyclically symmetric q-deformed algebra U
q(so3) |
| |
Authors: | M Havlíček S Pošta A U Klimyk |
| |
Institution: | (1) Department of Mathematics, FNSPE, Czech Technical University, CZ-120 00 Praha 2, Czech Republic;(2) Institute for Theoretical Physics, Kiev, 252143, Ukraine |
| |
Abstract: | An algebra homomorphism from the nonstandard q-deformed (cyclically symmetric) algebra U
q(so3) to the extension Û
q(sl2) of the Hopf algebra U
q(sl2) is constructed. Not all irreducible representations (IR) of U
q(sl2) can be extended to representations of Û
q(sl2). Composing the homomorphism with irreducible representations of Û
q(sl2) we obtain representations of U
q(so3). Not all of these representations of U
q(so3) are irreducible. Reducible representations of U
q(so3) are decomposed into irreducible components. In this way we obtain all IR of U
q(so3) when q is not a root of unity. A part of these representations turn into IR of the Lie algebra so3 when q 1. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|