The orthogonal µ-invariant of a quaternion algebra
| dc.contributor.author | Becher, Karim Johannes | |
| dc.contributor.author | Mahmoudi, Mohammad G. | deu |
| dc.date.accessioned | 2011-03-22T17:48:57Z | deu |
| dc.date.available | 2011-03-22T17:48:57Z | deu |
| dc.date.issued | 2010 | deu |
| dc.description.abstract | 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. | eng |
| dc.description.version | published | |
| dc.identifier.citation | First publ. in: Bulletin of the Belgian Mathematical Society - Simon Stevin ; 17 (2010), 1. - S. 181-192 | deu |
| dc.identifier.ppn | 353931586 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/806 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2010 | deu |
| dc.rights | terms-of-use | deu |
| dc.rights.uri | https://rightsstatements.org/page/InC/1.0/ | deu |
| dc.subject | Hermitian form | deu |
| dc.subject | Isotropy | deu |
| dc.subject | Dimension | deu |
| dc.subject | Algebra with involution | deu |
| dc.subject | U-invariant | deu |
| dc.subject.ddc | 510 | deu |
| dc.title | The orthogonal µ-invariant of a quaternion algebra | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @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.}
} | |
| kops.citation.iso690 | 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. 181-192 | deu |
| kops.citation.iso690 | 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. 181-192 | eng |
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| kops.sourcefield.plain | Bulletin of the Belgian Mathematical Society - Simon Stevin. 2010, 17(1), pp. 181-192 | eng |
| kops.url | https://projecteuclid.org/euclid.bbms/1267798507 | |
| kops.urlDate | 2020-11-30 | |
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