Mathematics – Quantum Algebra
Scientific paper
2000-07-17
Mathematics
Quantum Algebra
17 pages, LaTeX
Scientific paper
We describe properties of the nonstandard q-deformation U'_q(so_n) of the universal enveloping algebra U(so_n) of the Lie algebra so_n which does not coincide with the Drinfeld--Jimbo quantum algebra U_q(so_n). In particular, it is shown that there exists an isomorphism from U'_q(so_n) to U_q(sl_n) and that finite dimensional irreducible representations of U'_q(so_n) separate elements of this algebra. Irreducible representations of the algebras U'_q(so_n) for q a root of unity q^p=1 are given. The main class of these representations act on p^N-dimensional linear space (where N is a number of positive roots of the Lie algebra so_n) and are given by r=dim so_n complex parameters. Some classes of degenerate irreducible representations are also described.
Iorgov N. Z.
Klimyk Anatoliy U.
No associations
LandOfFree
The Nonstandard Deformation U'_q(so_n) For q a Root of Unity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Nonstandard Deformation U'_q(so_n) For q a Root of Unity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Nonstandard Deformation U'_q(so_n) For q a Root of Unity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-192267