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Lattice (discrete subgroup)

In Lie theory and related areas of mathematics, a lattice in a locally compact group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of Rn, this amounts to the usual geometric notion of a lattice as a periodic subset of points, and both the algebraic structure of lattices and…

Lattices in semisimple Lie groups, Generalities on lattices & Riemannian manifolds associated to lattices in Lie groups

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Generalities on lattices

Definition

Lattices in solvable Lie groups

Lattices in semisimple Lie groups

Riemannian manifolds associated to lattices in Lie groups

Lattices in p-adic Lie groups

Rigidity

Tree lattices

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Lattice (discrete subgroup)

Nodes110
Edges109
Triples0
Avg. degree1.98
Density0.018182
Components1

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displaystyle group lattices groups lattice lie subgroup semisimple gamma compact mathbb finite discrete locally mathrm algebraic example subset case theory

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