Topological transitive Abelian subgrouns of GL(n,R)

Published 31 Oct 2010 in math.DS | (1011.0178v1)

Abstract: We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is explicit and it is used to show that no abelian subgroup of GL(n, R) generated by [ (n+1)/2 ] matrices can have a dense orbit in R^n. ([ ] denotes the integer part).

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