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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2026
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| Schlagworte: | |
| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2470 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Institution
Algebra and Discrete Mathematics| Zusammenfassung: | 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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| DOI: | 10.12958/adm2470 |