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| Dokumentenart: | Artikel |
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| Titel eines Journals oder einer Zeitschrift: | Indagationes Mathematicae |
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| Verlag: | ELSEVIER SCIENCE BV |
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| Ort der Veröffentlichung: | AMSTERDAM |
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| Band: | 14 |
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| Nummer des Zeitschriftenheftes oder des Kapitels: | 2 |
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| Seitenbereich: | S. 241-248 |
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| Datum: | 2003 |
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| Institutionen: | Mathematik |
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| Identifikationsnummer: | | Wert | Typ |
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| 10.1016/S0019-3577(03)90008-5 | DOI |
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| Stichwörter / Keywords: | CURVES; |
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| Dewey-Dezimal-Klassifikation: | 500 Naturwissenschaften und Mathematik > 510 Mathematik |
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| Status: | Veröffentlicht |
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| Begutachtet: | Ja, diese Version wurde begutachtet |
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| An der Universität Regensburg entstanden: | Ja |
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| Dokumenten-ID: | 72215 |
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Zusammenfassung
Involutions on composition algebras over rings where 2 is invertible are investigated. It is proved that there is a one-one correspondence between non-standard involutions of the first kind, and composition subalgebras of half rank. Every non-standard involution of the first kind is isomorphic to the natural generalization of Lewis's hat-involution [L]. Any involution of the second kind on a ...
Zusammenfassung
Involutions on composition algebras over rings where 2 is invertible are investigated. It is proved that there is a one-one correspondence between non-standard involutions of the first kind, and composition subalgebras of half rank. Every non-standard involution of the first kind is isomorphic to the natural generalization of Lewis's hat-involution [L]. Any involution of the second kind on a composition algebra C over a quadratic etale R-algebra S can be written as the tensor product of the standard involution of a unique R-composition subalgebra of C and the standard involution of SIR. The latter generalizes a well-known theorem of Albert on quaternion algebras with unitary involutions.
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