論文

2009年9月

Lattices of some solvable lie groups and actions of products of affine groups

Tohoku Mathematical Journal
  • Tsuchiya Nobuo
  • ,
  • Yamakawa Aiko

61
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.

リンク情報
DOI
https://doi.org/10.2748/tmj/1255700199
ID情報
  • DOI : 10.2748/tmj/1255700199
  • ISSN : 0040-8735
  • SCOPUS ID : 70350639762

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