Automorphisms of convex cones

• 成果类型: Article
• 署名作者: Benoist, Y
• 署名单位: Centre National de la Recherche Scientifique (CNRS); Universite PSL; Ecole Normale Superieure (ENS)
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/PL00005789
• 发表日期: 2000
• 页码: 149-193
• 关键词: real projective-structures; linear-groups; RANDOM MATRICES; SPACES; SUBGROUPS; SURFACES

摘要

One studies the subgroups of GL(m, R) which preserve a properly convex cone of R-m and whose action on R-m is irreducible. In particular, one describes the Zariski closure of these subgroups. As an application, one describes the Zariski closure G of the subgroups of GL(m, R) all of whose elements have nothing but positive eigenvalues. For instance, one can get the group G = GL(m, R) if and only if m not equal 2 modulo 4.