X iv : m at h - ph / 0 30 70 08 v 1 2 J ul 2 00 3 IRREDUCIBLE REPRESENTATIONS OF CAYLEY – KLEIN ORTHOGONAL ALGEBRAS
نویسنده
چکیده
Multidimensional contractions of irreducible representations of the Cayley–Klein orthogonal algebras in Gel'fand–Zetlin basis are considered. Contracted over different parameters, algebras can turn out to be iso-morphic. In this case method of transitions describes the same reducible representations in different basises, say discrete and continuons ones.
منابع مشابه
ar X iv : m at h - ph / 0 30 70 05 v 1 2 J ul 2 00 3 INDUCED REPRESENTATIONS OF CAYLEY – KLEIN ORTHOGONAL GROUPS
Using method of inducing, irreducible unitary representation of Cay-ley–Klein orthogonal groups were constructed. There was proved that Kirilov's method of orbits is relevant for study of the behavior of irre-ducible representations under transitions between Cayley–Klein groups.
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