Summary
The three fundamental series of unitary irreducible representations of the Lie algebra of the conformal group in Minkowsky space are described. We use the homomorphism between conformal group and the groupG 2.2 of linear transformations which leave invariant the quadratic form −|z 1|2−|z 2|2+|z 3|2+|z 4|2.
Riassunto
Sono descritte le tre serie fondamentali di rappresentazioni irriducibili dell’algebra di Lie del gruppo conforme nello spazio di Minkowsky. Si fa uso dell’omomorfismo tra il gruppo conforme e il gruppoG 2.2 delle trasformazioni lineari che lasciano invariante la forma quadratica −|z 1|2−|z 2|2+|z 3|2+|z 4|2.
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Supported in part by EURATOM/C.N.E.N. (I.N.F.N.) « Basse Energie ».
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Esteve, A., Sona, P.G. Conformal group in minkowsky space. Unitary irreducible representations. Nuovo Cim 32, 473–485 (1964). https://doi.org/10.1007/BF02733974
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DOI: https://doi.org/10.1007/BF02733974