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PreprintCC BY-NC-SA 4.0arXiv

On the center of the Clifford Algebra

Abstract

The center of a Clifford algebra associated to a non-degenerate quadratic form over a field is described in the existing literature, but an elementary proof of the result seems lacking. The aim of this paper is to provide such an elementary proof.

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BibTeX
@misc{peters2026center,
  title = {{On the center of the Clifford Algebra}},
  author = {Chris Peters and Hans Sterk},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.23323},
  eprint = {2610.23323},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.23323},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - On the center of the Clifford Algebra
AU  - Chris Peters
AU  - Hans Sterk
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.23323
UR  - https://arxiv.org/abs/2610.23323
AB  - The center of a Clifford algebra associated to a non-degenerate quadratic form over a field is described in the existing literature, but an elementary proof of the result seems lacking. The aim of this paper is to provide such an elementary proof.
ER  -