Representations of O(3)

We analyze the various classes of local irreducible representations (both finite and infinite‐dimensional) of O(3) realized on a linear complex vector space. The well‐known finite‐dimensional unitary representations are obtained when the scalar product is positive definite. The infinite‐dimensional...

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Bibliographic Details
Published in:Journal of mathematical physics 1971-01, Vol.12 (10), p.2136-2143
Main Author: Tripathy, Kishor C.
Format: Article
Language:English
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Summary:We analyze the various classes of local irreducible representations (both finite and infinite‐dimensional) of O(3) realized on a linear complex vector space. The well‐known finite‐dimensional unitary representations are obtained when the scalar product is positive definite. The infinite‐dimensional representations are realized on an indefinite metric space. The possible applications of these new classes of representations are briefly discussed.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.1665513