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A multiplicity theorem for representations of inhomogeneous compact groups

โœ Scribed by H. D. Doebner; J. Tolar

Publisher
Springer
Year
1971
Tongue
English
Weight
377 KB
Volume
21
Category
Article
ISSN
0010-3616

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๐Ÿ“œ SIMILAR VOLUMES

Lower Multiplicity for Irreducible Repre
Lower Multiplicity for Irreducible Representations of Nilpotent Locally Compact Groups
โœ Eberhard Kaniuth ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

Let G be a nilpotent locally compact group. The lower multiplicity M L (?) is defined for every irreducible representation ? of G, which does not form an open point in the dual space G of G. It is shown that M L (?)=1 if either G is connected or ? is finite dimensional. Conversely, for G a nilpotent