Lattice group

Lattice group

In mathematics, the term lattice group is used for two distinct notions:

* a lattice, a discrete subgroup of R"n" and its generalizations.

* a lattice ordered group, a group that with a partial ordering that is a lattice order.


Wikimedia Foundation. 2010.

Игры ⚽ Нужно сделать НИР?

Look at other dictionaries:

  • Lattice (group) — A lattice in the Euclidean plane. In mathematics, especially in geometry and group theory, a lattice in Rn is a discrete subgroup of Rn which spans the real vector space Rn. Every lattice in Rn …   Wikipedia

  • Lattice Group plc — National Grid National Grid Création 1990 …   Wikipédia en Français

  • Lattice — may refer to: In art and design: Latticework an ornamental criss crossed framework, an arrangement of crossing laths or other thin strips of material Lattice (pastry) In engineering: A lattice shape truss structure In mathematics: Lattice (order) …   Wikipedia

  • Lattice based cryptography — is the generic term for asymmetric cryptographic primitives based on lattice. HistoryLattice have first been discovered by mathematicans Lagrange and Gauss. Lattice have been used laterly in computer algorithms and in cryptanalysis. In 1996 Atjai …   Wikipedia

  • Lattice (order) — See also: Lattice (group) The name lattice is suggested by the form of the Hasse diagram depicting it. Shown here is the lattice of partitions of a four element set {1,2,3,4}, ordered by the relation is a refinement of . In mathematics, a… …   Wikipedia

  • Lattice (mathematics) — In mathematics, the term lattice can mean:* A partially ordered set (poset) in which any two elements have a supremum and an infimum mdash;see lattice (order). The Hasse diagrams of these posets look (in some simple cases) like the lattices of… …   Wikipedia

  • Lattice — Cette page d’homonymie répertorie les différents sujets et articles partageant un même nom. En mathématiques, un treillis est un ensemble ordonné où toute paire d éléments a une borne supérieure et une borne inférieure uniques. Lattice… …   Wikipédia en Français

  • Lattice gas automaton — Lattice gas automata (LGA) or lattice gas cellular automata (LGCA) methods are a series of cellular automata methods used to simulate fluid flows. It was the precursor to the lattice Boltzmann methods. From the LGCA, it is possible to derive the… …   Wikipedia

  • Group theory — is a mathematical discipline, the part of abstract algebra that studies the algebraic structures known as groups. The development of group theory sprang from three main sources: number theory, theory of algebraic equations, and geometry. The… …   Wikipedia

  • Lattice (discrete subgroup) — In Lie theory and related areas of mathematics, a lattice in a locally compact topological group is a discrete subgroup with the property that the quotient space has finite invariant measure. In the special case of subgroups of R n , this amounts …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”