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Universal Similarity Factorization Equalities over Real Clifford Algebras

Mathematical Physics 2016-09-07 v1 math.MP Rings and Algebras

Abstract

A variety of universal similarity factorization equalities over real Clifford algebras Rp,q{\cal R}_{p,q} are established. On the basis of these equalities, real, complex and quaternion matrix representations of elements in Rp,q{\cal R}_{p,q} can be explicitly determined.

Keywords

Cite

@article{arxiv.math-ph/0003032,
  title  = {Universal Similarity Factorization Equalities over Real Clifford Algebras},
  author = {Yongge Tian},
  journal= {arXiv preprint arXiv:math-ph/0003032},
  year   = {2016}
}

Comments

30 pages, LaTex

R2 v1 2026-07-22T16:19:22.962Z