weyl reflection group
1Reflection group — A reflection group is a group action, acting on a finite dimensional vector space, which is generated by reflections: elements that fix a hyperplane in space pointwise.For example, with regard to ordinary reflections in planes in 3D, a reflection …
2Complex reflection group — In mathematics, a complex reflection group is a group acting on a finite dimensional complex vector space, that is generated by complex reflections: non trivial elements that fix a complex hyperplane in space pointwise. (Complex reflections are… …
3Reflection symmetry — Reflection symmetry, line symmetry, mirror symmetry, mirror image symmetry, or bilateral symmetry is symmetry with respect to reflection.In 2D there is an axis of symmetry, in 3D a plane of symmetry. An object or figure which is indistinguishable …
4Group (mathematics) — This article covers basic notions. For advanced topics, see Group theory. The possible manipulations of this Rubik s Cube form a group. In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines …
5Weyl-Brauer matrices — In mathematics, particularly in the theory of spinors, the Weyl Brauer matrices are an explicit realization of a Clifford algebra as a matrix algebra. They generalize to n dimensions the Pauli matrices. They are named for Richard Brauer and… …
6Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry …
7History of group theory — The history of group theory, a mathematical domain studying groups in their various forms, has evolved in various parallel threads. There are three historical roots of group theory: the theory of algebraic equations, number theory and geometry.… …
8Orthogonal group — Group theory Group theory …
9Symmetric group — Not to be confused with Symmetry group. A Cayley graph of the symmetric group S4 …
10Dynkin diagram — See also: Coxeter–Dynkin diagram Finite Dynkin diagrams Affine (extended) Dynkin diagrams …
