On the integrable and square-integrable representations of 𝑆𝑝𝑖𝑛(1,2𝑚)

Thieleker, Ernest

doi:10.1090/S0002-9947-1977-0453925-7

On the integrable and square-integrable representations of $\textrm {Spin}(1, 2m)$
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Trans. Amer. Math. Soc. 230 (1977), 1-40 Request permission

Abstract:

All the unitary equivalence classes of irreducible integrable and square-integrable representations of the groups ${\text {Spin}}(1,2m),m \geqslant 2$, are determined. The method makes use of some elementary results on differential equations and the classification of irreducible unitary representations of these groups. In the latter classification, certain ambiguities resulting from possible equivalences not taken into account in a previous paper, are cleared up here.

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Compact Lie groups and their representations