August 13, 2024Open Access

On Clifford Algebras of Infinite Dimensional Vector Spaces

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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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Оксана Безущак (Tue,) studied this question.

synapsesocial.com/papers/68e5c967b6db64358755f8de https://doi.org/https://doi.org/10.48550/arxiv.2408.07156

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