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arXiv · 2408.07156

On Clifford Algebras of Infinite Dimensional Vector Spaces

Oksana Bezushchak
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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 $2$. We also construct an algebraic automorphism of the Clifford algebra of a positive definite quadratic form that is not continuous.

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Oksana Bezushchak. 2024-08-13. On Clifford Algebras of Infinite Dimensional Vector Spaces. https://arxiv.org/abs/2408.07156

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