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Discrete series for semisimple Lie groups. II: Explicit determination of the characters

Discrete series for semisimple Lie groups. II: Explicit determination of the characters

Let G be a connected semisimple Lie group and K a maximal compact subgroup of G.We shall show in this paper that G has a discrete series (see [4 (d), w 5]) ff and only if it has a compact Cartan subgroup B. Let Ea denote the set of all …