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

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概要

• 論文の詳細を見る

• 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.

• 東北大学の論文

著者

• Tsuchiya Nobuo

  Department Of Mathematics Toin University Of Yokohama

• Yamakawa Aiko

  Department Of Mathematics International Christian University

• Yamakawa Aiko

  Department Of Gnatho-oral Prosthetic Rehabilitation Nihon University School Of Dentistry At Matsudo

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• Codimension one locally free actions of solvable Lie groups
• Lattices of some solvable Lie groups and actions of products of affine groups

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