spinor group
Смотреть что такое "spinor group" в других словарях:
Spinor — In mathematics and physics, in particular in the theory of the orthogonal groups (such as the rotation or the Lorentz groups), spinors are elements of a complex vector space introduced to expand the notion of spatial vector. Unlike tensors, the… … Wikipedia
Orthogonal group — Group theory Group theory … Wikipedia
Spinor bundle — In mathematics and theoretical physics, spinors are certain geometric entities bound up with physical theories of spin , and the mathematics of Clifford algebras, that in a sense are kinds of twisted tensors. From a geometric point of view,… … Wikipedia
List of Lie group topics — This is a list of Lie group topics, by Wikipedia page. Examples See Table of Lie groups for a list *General linear group, special linear group **SL2(R) **SL2(C) *Unitary group, special unitary group **SU(2) **SU(3) *Orthogonal group, special… … Wikipedia
Lorentz group — Group theory Group theory … Wikipedia
Representation theory of the Lorentz group — The Lorentz group of theoretical physics has a variety of representations, corresponding to particles with integer and half integer spins in quantum field theory. These representations are normally constructed out of spinors.The group may also be … Wikipedia
Pure spinor — In a field of mathematics known as representation theory pure spinors are spinor representations of the special orthogonal group that are annihilated by the largest possible subspace of the Clifford algebra. They were introduced by Elie Cartan in … Wikipedia
Spin group — In mathematics the spin group Spin( n ) is the double cover of the special orthogonal group SO( n ), such that there exists a short exact sequence of Lie groups:1 o mathbb{Z} 2 o operatorname{Spin}(n) o operatorname{SO}(n) o 1.For n gt; 2, Spin(… … Wikipedia
Classical group — For the book by Weyl, see The Classical Groups. Lie groups … Wikipedia
Special unitary group — In mathematics, the special unitary group of degree n , denoted SU( n ), is the group of n times; n unitary matrices with determinant 1. The group operation is that of matrix multiplication. The special unitary group is a subgroup of the unitary… … Wikipedia
List of mathematical topics in quantum theory — This is a list of mathematical topics in quantum theory, by Wikipedia page. See also list of functional analysis topics, list of Lie group topics, list of quantum mechanical systems with analytical solutions. Contents 1 Mathematical formulation… … Wikipedia
