Publikation: The orthogonal µ-invariant of a quaternion algebra
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2010
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Mahmoudi, Mohammad G.
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Bulletin of the Belgian Mathematical Society - Simon Stevin. 2010, 17(1), pp. 181-192
Zusammenfassung
In quadratic form theory over fields, a much studied field invariant is the u-invariant, defined as the supremum over the dimensions of anisotropic quadratic forms over the field. We investigate the corresponding notions of u-invariant for hermitian and for skew-hermitian forms over a division algebra with involution, with a special focus on skew-hermitian forms over a quaternion algebra. Under certain conditions on the center of the quaternion algebra, we obtain sharp bounds for this invariant.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Hermitian form, Isotropy, Dimension, Algebra with involution, U-invariant
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BECHER, Karim Johannes, Mohammad G. MAHMOUDI, 2010. The orthogonal µ-invariant of a quaternion algebra. In: Bulletin of the Belgian Mathematical Society - Simon Stevin. 2010, 17(1), pp. 181-192BibTex
@article{Becher2010ortho-806,
year={2010},
title={The orthogonal µ-invariant of a quaternion algebra},
url={https://projecteuclid.org/euclid.bbms/1267798507},
number={1},
volume={17},
journal={Bulletin of the Belgian Mathematical Society - Simon Stevin},
pages={181--192},
author={Becher, Karim Johannes and Mahmoudi, Mohammad G.}
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URL der Originalveröffentl.
Prüfdatum der URL
2020-11-30
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