The use of the generalized Pauli's theorem for odd elements of Clifford algebrato analyze relations between spin and orthogonal groups of arbitrary dimensions

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki

Dmitry Sergeevich Shirokov¹ 

[1] Steklov Mathematical Institute of Russian Academy of Sciences;

关键词: clifford algebra;    pauli's theorem;    spin groups;    orthogonal groups;    double cover;    orthochronous group;    orthochorous group;   

DOI  :  10.14498/vsgtu1176

来源: DOAJ

【 摘 要 】

In the present paper we consider the use of generalized Pauli's theorem to prove the theorem about double cover of orthogonal groups by spin groups. We prove theorems about double cover of orthochronous, othochorous, special and special orthochronous groups by corresponding spin groups. We show the difference between the approaches using adjoint action and twisted adjoint action.

【 授权许可】

Unknown