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Restrictions of Irreducible Unitary Representations of Nilpotent Lie Groups to Lattices

โœ Scribed by M.B. Bekka; P. Driutti

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
172 KB
Volume
168
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

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 that f +l ร‚ O G (l ), that is, ? f +l $ 3 ? l , whereas ? f +l |

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