G. Margulis showed that if G is a semisimple Lie group and ฮ โ G is an irreducible lattice, which has an infinite index in its commensurator, and which satisfies one of the following conditions: (1) it is cocompact; (2) at least one of the simple components of G is defined over a local field of cha
Rigidity of commensurators and irreducible lattices
โ Scribed by Yehuda Shalom
- Book ID
- 105912311
- Publisher
- Springer-Verlag
- Year
- 2000
- Tongue
- English
- Weight
- 427 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
Voronoi defines a partition of the cone of positive semidefinite n-ary forms 2 , where n is the number of variables and dimension of the corresponding lattice. We define a non-rigidity degree of a lattice as the dimension of the L-type domain containing the lattice. We prove that the non-rigidity d
For a finite ordered set G let ~(G) denote the family of all distributive lattices L such that G both generates L and is the set of doubly irreducible elements of L. We provide a characterization for membership in ~(G), and by means of this characterization define a natural order relation on ~(G). W