A reciprocity theorem for unitary representations of Lie groups |
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Authors: | Henri Moscovici |
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Institution: | (1) Institutte of Mathematics of the Academy, Bucharest, Romania |
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Abstract: | LetG be a Lie group,H a closed subgroup,L a unitary representation ofH andU
L the corresponding induced representation onG. The main result of this paper, extending Ol’ŝanskii’s version of the Frobenius reciprocity theorem, expresses the intertwining
number ofU
L and an irreducible unitary representationV ofG in terms ofL and the restriction ofV
∞ toH. |
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Keywords: | |
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