On Clifford Algebras of Infinite Dimensional Vector Spaces

2024/08/13 by Оксана Безущак, Bezushchak, Oksana
Mathematics · #15A66 #16W20 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2408.07156

openalex publication_date 2024/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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