Lattice in a Lie group
A lattice of dimension $n$ (or rank) $n$ in a vector space $V$ over $\mathbf R$ or $\mathbf C$ is a free Abelian subgroup in $V$ generated by $n$ linearly independent vectors over $\mathbf R$. A subgroup of the additive group of a finite-dimensional vector space $V$ over $\mathbf R$ is discrete if and only if it is a lattice .
|||S.A. Morris, "Pontryagin duality and the structure of locally compact Abelian groups" , London Math. Soc. Lecture Notes , 29 , Cambridge Univ. Press (1977)|
See also Discrete group of transformations.
Lattice in a Lie group. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Lattice_in_a_Lie_group&oldid=32811