infinite-dimensional group
121Pontryagin duality — In mathematics, in particular in harmonic analysis and the theory of topological groups, Pontryagin duality explains the general properties of the Fourier transform. It places in a unified context a number of observations about functions on the… …
122En (Lie algebra) — In mathematics, especially in Lie theory, E n is the Kac–Moody algebra whose Dynkin diagram is a line of n 1 points with an extra point attached to the third point from the end. Finite dimensional Lie algebras*E3 is another name for the Lie… …
123Contractibility of unit sphere in Hilbert space — In topology, it is a surprising fact that the unit sphere in (infinite dimensional) Hilbert space is a contractible space, sinceno finite dimensional spheres are contractible.This can be demonstrated in several different ways. Topological proof… …
124Dynkin diagram — See also: Coxeter–Dynkin diagram Finite Dynkin diagrams Affine (extended) Dynkin diagrams …
125Simplex — For other uses, see Simplex (disambiguation). A regular 3 simplex or tetrahedron In geometry, a simplex (plural simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimension. Specifically, an n… …
126Matroid — In combinatorics, a branch of mathematics, a matroid (  /ˈmeɪ …
127Golod–Shafarevich theorem — In mathematics, the Golod–Shafarevich theorem was proved in 1964 by two Russian mathematicians, Evgeny Golod and Igor Shafarevich. It is a result in non commutative homological algebra which has consequences in various branches of algebra. The… …
128Stable theory — For differential equations see Stability theory. In model theory, a complete theory is called stable if it does not have too many types. One goal of classification theory is to divide all complete theories into those whose models can be… …
