infinite-dimensional group
51Isometry group — In mathematics, the isometry group of a metric space is the set of all isometries from the metric space onto itself, with the function composition as group operation. Its identity element is the identity function.A single isometry group of a… …
52Amenable group — In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under left (or right) translation by group elements. The original definition, in terms of a… …
53Compact group — In mathematics, a compact (topological, often understood) group is a topological group whose topology is compact. Compact groups are a natural generalisation of finite groups with the discrete topology and have properties that carry over in… …
54Finite group — In mathematics, a finite group is a group which has finitely many elements. Some aspects of the theory of finite groups were investigated in great depth in the twentieth century, in particular the local theory, and the theory of solvable groups… …
55Adelic algebraic group — In mathematics, an adelic algebraic group is a topological group defined by an algebraic group G over a number field K , and the adele ring A = A ( K ) of K . It consists of the points of G having values in A ; the definition of the appropriate… …
56Tate cohomology group — In mathematics, Tate cohomology groups are a slightly modified form of the usual cohomology groups of a finite group that combine homology and cohomology groups into one sequence. They were invented by John Tate, and are used in class field… …
57Conformal field theory — A conformal field theory (CFT) is a quantum field theory (or statistical mechanics model at the critical point) that is invariant under conformal transformations. Conformal field theory is often studied in two dimensions where there is an… …
58George Mackey — George Whitelaw Mackey (* 1. Februar 1916 in St. Louis; † 15. März 2006 in Belmont (Massachusetts)) war ein US amerikanischer Mathematiker. George Mackey wuchs in Houston in Texas auf, wo er sein Studium von Physik, Chemieingenieurwesen und… …
59Edward Nelson — (born May 4 1932, in Decatur, Georgia) is a professor in the Mathematics Department at Princeton University. He is known for his work on mathematical physics and mathematical logic. In mathematical logic, he is noted especially for his internal… …
60Classification of finite simple groups — Group theory Group theory …
