English

Irreducible Representations of Cayley-Klein Unitary Algebras

Mathematical Physics 2007-05-23 v1 math.MP

Abstract

Multidimensional contractions of irreducible representations of the Cayley-Klein unitary algebras in the Gel'fand-Zetlin basis are considered. Contracted over different parameters, algebras can turn out to be isomorphic. In this case method of transitions describes the same reducible representations in different basises, say, discrete and continuous ones.

Keywords

Cite

@article{arxiv.math-ph/0307006,
  title  = {Irreducible Representations of Cayley-Klein Unitary Algebras},
  author = {N. A. Gromov and S. S. Moskaliuk},
  journal= {arXiv preprint arXiv:math-ph/0307006},
  year   = {2007}
}

Comments

31 pages, amstex, no figures