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Invariant lattices and modular decomposition of irreducible representations

✍ Scribed by Ute Reinhardt; Peter Schmid


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
992 KB
Volume
87
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Restrictions of Irreducible Unitary Repr
✍ M.B. Bekka; P. Driutti πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 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

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## Abstract We give a lattice‐theoretic characterization of the lattices of Mackey closed subspaces in a vector space __V__ (dim __V__ ≧ 4): These are exactly complete finitely‐modular AC‐lattices of the length at least four which have mutually perspective atoms.