rank of lattice
11Coxeter–Todd lattice — In mathematics, the Coxeter–Todd lattice K12, discovered by Coxeter and Todd (1953), is a the 12 dimensional even integral lattice of discriminant 36 with no norm 2 vectors. It is the sublattice of the Leech lattice fixed by a certain… …
12Barnes–Wall lattice — In mathematics, the Barnes–Wall lattice Lambda;16, discovered by harvtxt|Barnes|Wall|1959, is the 16 dimensional positive definite even integral lattice of discriminant 28 with no norm 2 vectors. It is the sublattice of the Leech lattice fixed by …
13Theta function of a lattice — In mathematics, the theta function of a lattice is a function whose coefficients give the number of vectors of a given norm. Definition One can associate to any (positive definite) lattice Λ a theta function given by The theta function of a… …
14Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… …
15Root system — This article discusses root systems in mathematics. For root systems of plants, see root. Lie groups …
16Graded poset — In mathematics, a graded poset, sometimes called a ranked poset (but see the article for an alternative meaning), is a partially ordered set (poset) P equipped with a rank function rho; from P to N compatible with the ordering (so rho;( x ) lt;… …
17Dynkin diagram — See also: Coxeter–Dynkin diagram Finite Dynkin diagrams Affine (extended) Dynkin diagrams …
18Dowling geometry — In combinatorial mathematics, a Dowling geometry, named after Thomas A. Dowling, is a matroid associated with a group. There is a Dowling geometry of each rank for each group. If the rank is at least 3, the Dowling geometry uniquely determines… …
19Abstract polytope — In mathematics, an abstract polytope is a combinatorial structure with properties similar to those shared by a more classical polytope. Abstract polytopes correspond to the structures of polygons, polyhedra, tessellations of the plane and higher… …
20E₈ — In mathematics, E8 is the name given to a family of closely related structures. In particular, it is the name of four exceptional simple Lie algebras as well as that of the six associated simple Lie groups. It is also the name given to the… …
