q-deformed algebras $U_q(so_n)$ and their representations

Details q-deformed algebras $U_q(so_n)$ and their representations q-deformed algebras $U_q(so_n)$ and their representations

1997-09-24

arxiv.org/abs/q-alg/9709036v2

Methods Func.Anal.Topol. 3, no.4, 51-63 (1997)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 14 pages. Minor corrections. Final version as published in Methods of Functional Analysis and Topology

Scientific paper

For the nonstandard $q$-deformed algebras $U_q(so_n)$, defined recently in terms of trilinear relations for generating elements, most general finite dimensional irreducible representations directly corresponding to those of nondeformed algebras $so(n)$ (i.e., characterized by the same sets of only integers or only half-integers as in highest weights of the latter) are given explicitly in a $q$-analogue of Gel'fand-Tsetlin basis. Detailed proof, for $q$ not equal to a root of unity, that representation operators indeed satisfy relevant (trilinear) relations and define finite dimensional irreducible representations is presented. The results show perfect suitability of the Gel'fand-Tsetlin formalism concerning (nonstandard) $q$-deformation of $so(n)$.

Affiliated with

Also associated with

No associations

Rating

q-deformed algebras $U_q(so_n)$ and their representations 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 q-deformed algebras $U_q(so_n)$ and their representations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and q-deformed algebras $U_q(so_n)$ and their representations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-319290