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On completely irreducible representations of complex and real nilpotent Lie groups

โœ Scribed by G. L. Litvinov


Publisher
Springer US
Year
1970
Tongue
English
Weight
232 KB
Volume
3
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES


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โœ D. Arnal ๐Ÿ“‚ Article ๐Ÿ“… 1978 ๐Ÿ› Springer ๐ŸŒ English โš– 240 KB

Let U be a unitary irreducible locally faithful representation of a nilpotent Lie group G, ~ the universal enveloping algebra of G, M a simple module on o//with kernel Ker dU, then there exists an automorphism of q/keeping ker dU invariant such that, after transport of structure, M is isomorphic to

Restrictions of Irreducible Unitary Repr
โœ M.B. Bekka; P. Driutti ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 172 KB

## RESTRICTION OF REPRESENTATIONS with Q-linearly independent real numbers : 1 , : 2 . Then By Proposition 1.1, r l is not contained in a proper rational ideal of g. So, ? l | 1 is irreducible, by Theorem 1.1. Now, if f =n 4 X 4 \*+n 5 X 5 \* # g\* with n 4 , n 5 # Z&[0] then it is easy to see th