When is a Bogolyubov automorphism inner?

• Date: 2026
• Main Authors: Arskyi, Nikita, Bezushchak, Oksana
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2026
• Subjects: Bogolyubov automorphism; Clifford algebra; locally matrix algebra; Primary: 15A66. Secondary: 16W20
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470
• Journal Title: Algebra and Discrete Mathematics

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 \(\ma...