English

On Clifford Algebras of Infinite Dimensional Vector Spaces

Rings and Algebras 2024-08-15 v1

Abstract

We describe derivations of the Clifford algebra of a nondegenerate quadratic form on a countable dimensional vector space over an algebraically closed field of characteristic not equal to 22. We also construct an algebraic automorphism of the Clifford algebra of a positive definite quadratic form that is not continuous.

Keywords

Cite

@article{arxiv.2408.07156,
  title  = {On Clifford Algebras of Infinite Dimensional Vector Spaces},
  author = {Oksana Bezushchak},
  journal= {arXiv preprint arXiv:2408.07156},
  year   = {2024}
}