On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations
Quantum Algebra
2008-11-26 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Representation Theory
Abstract
The nonstandard q-deformed algebras U'_q(so_n) are known to possess q-analogues of Gel'fand-Tsetlin type representations. For these q-algebras, all the Casimir elements (corresponding to basis set of Casimir elements of so(n)) are found, and their eigenvalues within irreducible representations are given explicitly.
Keywords
Cite
@article{arxiv.math/9911201,
title = {On the Casimir Elements of q-Algebras U'_q(so_n) and Their Eigenvalues in Representations},
author = {A. M. Gavrilik and N. Z. Iorgov},
journal= {arXiv preprint arXiv:math/9911201},
year = {2008}
}
Comments
5 pages, LaTeX. Contribution to proceedings of III Int. Conf. "Symmetry in Nonlinear Mathematical Physics" (Kiev, 12-18 July, 1999)