Invariant lattices and modular decomposition of irreducible representations
β 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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## 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
## Abstract We give a latticeβtheoretic characterization of the lattices of Mackey closed subspaces in a vector space __V__ (dim __V__ β§ 4): These are exactly complete finitelyβmodular ACβlattices of the length at least four which have mutually perspective atoms.