When Is a Bogolyubov Automorphism Inner?
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911420861382656 |
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| author | Arskyi, Nikita Bezushchak, Oksana |
| author_facet | Arskyi, Nikita Bezushchak, Oksana |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_03993 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | When Is a Bogolyubov Automorphism Inner? Arskyi, Nikita Bezushchak, Oksana Rings and Algebras 15A66 (Primary) 16W20 (Secondary) 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. |
| title | When Is a Bogolyubov Automorphism Inner? |
| topic | Rings and Algebras 15A66 (Primary) 16W20 (Secondary) |
| url | https://arxiv.org/abs/2602.03993 |