Spin group: Mathematics, Orthogonal Group, Exact Sequence, Lie Group, Simply Connected Space, Covering Space, Reflection Through the Origin, Clifford Algebra, Clifford Analysis

Spin group: Mathematics, Orthogonal Group, Exact Sequence, Lie Group, Simply Connected Space, Covering Space, Reflection Through the Origin, Clifford Algebra, Clifford Analysis
Год
 
Страниц
 
100
ISBN
 
6130348290

Описание:

High Quality Content by WIKIPEDIA articles! 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. In low dimensions, there are isomorphisms among the classical Lie groups called accidental isomorphisms. For instance, there are isomorphisms between low dimensional spin groups and certain classical Lie groups, due to low dimensional isomorphisms between the root systems (and corresponding isomorphisms of Dynkin diagrams) of the different families of simple Lie algebras.

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