2009年9月
Lattices of some solvable lie groups and actions of products of affine groups
Tohoku Mathematical Journal
- ,
- 巻
- 61
- 号
- 3
- 開始ページ
- 349
- 終了ページ
- 364
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.2748/tmj/1255700199
We consider solvable Lie groups which are isomorphic to unimodularizations of products of affine groups. It is shown that a lattice of such a Lie group is determined, up to commensurability, by a totally real algebraic number field. We also show that the outer automorphism group of the lattice is represented faithfully in the automorphism group of the number field. As an application, we obtain a classification of codimension one, volume preserving, locally free actions of products of affine groups.
- ID情報
-
- DOI : 10.2748/tmj/1255700199
- ISSN : 0040-8735
- SCOPUS ID : 70350639762