When is a Bogolyubov automorphism inner?
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...
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| Datum: | 2026 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2026
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1861680840606482432 |
|---|---|
| author | Arskyi, Nikita Bezushchak, Oksana |
| author_facet | Arskyi, Nikita Bezushchak, Oksana |
| author_sort | Arskyi, Nikita |
| baseUrl_str | https://admjournal.luguniv.edu.ua/index.php/adm/oai |
| collection | OJS |
| datestamp_date | 2026-04-05T09:02:49Z |
| description | 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. |
| doi_str_mv | 10.12958/adm2470 |
| first_indexed | 2026-04-06T01:00:02Z |
| format | Article |
| id | admjournalluguniveduua-article-2470 |
| institution | Algebra and Discrete Mathematics |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-04-06T01:00:02Z |
| publishDate | 2026 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-24702026-04-05T09:02:49Z When is a Bogolyubov automorphism inner? Arskyi, Nikita Bezushchak, Oksana Bogolyubov automorphism, Clifford algebra, locally matrix algebra Primary: 15A66. Secondary: 16W20 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. Lugansk National Taras Shevchenko University 2026-04-05 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470 10.12958/adm2470 Algebra and Discrete Mathematics; Vol 41, No 1 (2026) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470/pdf Copyright (c) 2026 Algebra and Discrete Mathematics |
| spellingShingle | Bogolyubov automorphism Clifford algebra locally matrix algebra Primary: 15A66. Secondary: 16W20 Arskyi, Nikita Bezushchak, Oksana When is a Bogolyubov automorphism inner? |
| title | When is a Bogolyubov automorphism inner? |
| title_full | When is a Bogolyubov automorphism inner? |
| title_fullStr | When is a Bogolyubov automorphism inner? |
| title_full_unstemmed | When is a Bogolyubov automorphism inner? |
| title_short | When is a Bogolyubov automorphism inner? |
| title_sort | when is a bogolyubov automorphism inner? |
| topic | Bogolyubov automorphism Clifford algebra locally matrix algebra Primary: 15A66. Secondary: 16W20 |
| topic_facet | Bogolyubov automorphism Clifford algebra locally matrix algebra Primary: 15A66. Secondary: 16W20 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470 |
| work_keys_str_mv | AT arskyinikita whenisabogolyubovautomorphisminner AT bezushchakoksana whenisabogolyubovautomorphisminner |