Publikation: Orthogonal Pfister involutions in characteristic two
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2014
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Journal of Pure and Applied Algebra. 2014, 218(10), pp. 1900-1915. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/j.jpaa.2014.02.013
Zusammenfassung
We show that over a field of characteristic 2 a central simple algebra with orthogonal involution that decomposes into a product of quaternion algebras with involution is either anisotropic or metabolic. We use this to define an invariant of such orthogonal involutions that completely determines the isotropy behaviour of the involution. We also give an example of a non-totally decomposable algebra with orthogonal involution that becomes totally decomposable over every splitting field of the algebra.
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DOLPHIN, Andrew, 2014. Orthogonal Pfister involutions in characteristic two. In: Journal of Pure and Applied Algebra. 2014, 218(10), pp. 1900-1915. ISSN 0022-4049. eISSN 1873-1376. Available under: doi: 10.1016/j.jpaa.2014.02.013BibTex
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year={2014},
doi={10.1016/j.jpaa.2014.02.013},
title={Orthogonal Pfister involutions in characteristic two},
number={10},
volume={218},
issn={0022-4049},
journal={Journal of Pure and Applied Algebra},
pages={1900--1915},
author={Dolphin, Andrew}
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