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arXiv · 2602.03993

When Is a Bogolyubov Automorphism Inner?

Nikita Arskyi·Oksana Bezushchak
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Abstract

Let $V$ be an infinite-dimensional vector space over a field of characteristic not equal to $2$. Given a nondegenerate quadratic form $f$ on $V$, we consider the Clifford algebra $\mathrm{Cl}(V,f)$. Any orthogonal linear transformation of $V$ extends to a Bogolyubov automorphism of $\mathrm{Cl}(V,f)$. We obtain necessary and sufficient conditions for a Bogolyubov automorphism to be inner.

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Nikita Arskyi, Oksana Bezushchak. 2026-02-03. When Is a Bogolyubov Automorphism Inner?. https://arxiv.org/abs/2602.03993

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