An extension of Mahler's theorem to simply connected nilpotent groups

Martin Moskowitz

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Dual topology of a nilpotent Lie group

Ian D. Brown (1973)

Annales scientifiques de l'École Normale Supérieure

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Complex analytic geometry of complex parallelizable manifolds

Jörg Winkelmann (1998)

Mémoires de la Société Mathématique de France

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On the lattice automorphisms of $S L (n, q)$ and $P S L (n, q)$

Helmut Völklein (1986)

Rendiconti del Seminario Matematico della Università di Padova

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Geometry of $2$ -step nilpotent groups with a left invariant metric

Patrick Eberlein (1994)

Annales scientifiques de l'École Normale Supérieure

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Eventually periodic points of infra-nil endomorphisms.

Ha, Ku Yong, Kim, Hyun Jung, Lee, Jong Bum (2010)

Fixed Point Theory and Applications [electronic only]

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On nilpotent filiform Lie algebras of dimension eight.

Barbari, P., Kobotis, A. (2003)

International Journal of Mathematics and Mathematical Sciences

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Classification of connected unimodular Lie groups with discrete series

Anh Nguyen Huu (1980)

Annales de l'institut Fourier

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We introduce a new class of connected solvable Lie groups called $H$ -group. Namely a $H$ -group is a connected solvable Lie group with center $Z$ such that for some $ℓ$ in the Lie algebra $h$ of $H$ , the symplectic for $B_{ℓ}$ on $h / z$ given by $ℓ ([x, y])$ is nondegenerate. Moreover, apart form some technical requirements, it will be proved that a connected unimodular Lie group $G$ with center $Z$ , such that the center of $G / Rad G$ is finite, has discrete series if and only if $G$ may be written as $G = H S^{'}$ , $H \cap S = Z^{0}$ , where $H$ is a $H$ -group with...

Displaying similar documents to “An extension of Mahler's theorem to simply connected nilpotent groups”

Dual topology of a nilpotent Lie group

Complex analytic geometry of complex parallelizable manifolds

On the lattice automorphisms of S L ( n , q ) and P S L ( n , q )

Geometry of 2 -step nilpotent groups with a left invariant metric

Eventually periodic points of infra-nil endomorphisms.

On nilpotent filiform Lie algebras of dimension eight.

Classification of connected unimodular Lie groups with discrete series

On the lattice automorphisms of $S L (n, q)$ and $P S L (n, q)$

Geometry of $2$ -step nilpotent groups with a left invariant metric