Unitary Irreducible Representations of the Groups SO(n, 1)
- 1 January 1971
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (1), 131-139
- https://doi.org/10.1063/1.1665471
Abstract
By SO0(n, 1) we denote the identity component of the group O(n, 1), by so(n, 1), the Lie algebra of SO0(n, 1). We determine all those representations of the Lie algebras so(n, 1) which can be extended to a unitary irreducible representation of the group and give explicit expressions for the generators. The general results are specialized to the cases n = 2, 3, 4, and 5.Keywords
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