Singular and Totally Singular Unitary Spaces |
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Authors: | Andrew Dolphin |
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Institution: | 1. Departement Wiskunde–Informatica , Universiteit Antwerpen , Antwerpen , Belgium;2. Fachbereich Mathematik und Statistik , Universit?t Konstanz , Konstanz , Germany;3. ICTEAM Institute , Université Catholique de Louvain , Louvain-la-Neuve , Belgium Andrew.Dolphin@uantwerpen.be |
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Abstract: | In this article, we present a decomposition theorem for unitary spaces over a central simple division algebra with involution in characteristic 2. This is a generalization of a decomposition result for quadratic forms in characteristic 2 from 4
Hoffmann , D. ,
Laghribi , A. ( 2004 ). Quadratic forms and Pfister neighbors in characteristic 2 . Trans. Amer. Math. Soc. 356 ( 10 ): 4019 – 4053 .Crossref], Web of Science ®] , Google Scholar]] and extends a generalization of the Witt decomposition theorem for nonsingular spaces in this setting to cover spaces that may be singular. |
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Keywords: | Central simple algebras Characteristic two Generalised quadratic forms Involutions Unitary spaces Witt decomposition |
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