English

Calculation of elements of spin groups using generalized Pauli's theorem

Mathematical Physics 2016-08-29 v1 math.MP

Abstract

We formulate generalizations of Pauli's theorem on the cases of real and complex Clifford algebras of even and odd dimensions. We give analogues of these theorems in matrix formalism. Using these theorems we present an algorithm for computing elements of spin groups that correspond to elements of orthogonal groups as double cover.

Keywords

Cite

@article{arxiv.1409.2449,
  title  = {Calculation of elements of spin groups using generalized Pauli's theorem},
  author = {D. S. Shirokov},
  journal= {arXiv preprint arXiv:1409.2449},
  year   = {2016}
}

Comments

Advances in Applied Clifford Algebras, 2014 (to appear)

R2 v1 2026-06-22T05:51:37.825Z