unitary group
81Real form (Lie theory) — Lie groups …
82Maximal torus — In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups. A torus in a Lie group G is a compact, connected, abelian Lie subgroup of G (and therefore isomorphic to… …
83Connection form — In mathematics, and specifically differential geometry, a connection form is a manner of organizing the data of a connection using the language of moving frames and differential forms. Historically, connection forms were introduced by Élie Cartan …
84List of cohomology theories — This is a list of some of the ordinary and generalized (or extraordinary) homology and cohomology theories in algebraic topology that are defined on the categories of CW complexes or spectra. For other sorts of homology theories see the links at… …
85Orientation entanglement — In mathematics and physics, the notion of orientation entanglement is sometimes[1] used to develop intuition relating to the geometry of spinors or alternatively as a concrete realization of the failure of the special orthogonal groups to be… …
86Stiefel manifold — In mathematics, the Stiefel manifold V k (R n ) is the set of all orthonormal k frames in R n . That is, it is the set of ordered k tuples of orthonormal vectors in R n . Likewise one can define the complex Stiefel manifold V k (C n ) of… …
87Bott periodicity theorem — In mathematics, the Bott periodicity theorem is a result from homotopy theory discovered by Raoul Bott during the latter part of the 1950s, which proved to be of foundational significance for much further research, in particular in K theory of… …
88Gell-Mann matrices — The Gell Mann matrices, named for Murray Gell Mann, are one possible representation of the infinitesimal generators of the special unitary group called SU(3).This group has eight generators, which we can write as gi , with i taking values from 1… …
89Complex projective space — The Riemann sphere, the one dimensional complex projective space, i.e. the complex projective line. In mathematics, complex projective space is the projective space with respect to the field of complex numbers. By analogy, whereas the points of a …
90Direct integral — In mathematics and functional analysis a direct integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was… …
