LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE

Enrico Celeghini, Manuel Gadella, Mariano A del Olmo

Abstract


It is well known that related with the irreducible representations of the Lie group SO(2) we find a discrete basis as well a continuous one. In this paper we revisited this situation under the light of  Rigged Hilbert spaces, which are the suitable framework to deal  with both discrete and bases in the same context and in  relation with physical applications.

Keywords


Lie groups representations; special functions; rigged Hilbert spaces

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ISSN 1210-2709 (Print)
ISSN 1805-2363 (Online)
Published by the Czech Technical University in Prague