MacDonald, Mark (2008) *Cohomological invariants of odd degree Jordan algebras.* Mathematical Proceedings of the Cambridge Philosophical Society, 145 (2). pp. 295-303. ISSN 0305-0041

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Official URL: http://dx.doi.org/10.1017/S0305004108001485

## Abstract

In this paper we determine all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), for J a split central simple Jordan algebra of odd degree n ≥ 3. This has already been done for J of orthogonal and exceptional type, and we extend these results to unitary and symplectic type. We will use our results to compute the essential dimensions of some groups, for example we show that ed(PSp2n) = n + 1 for n odd.

Item Type: | Article |
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Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society |

Additional Information: | http://journals.cambridge.org/action/displayJournal?jid=PSP The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 145 (2), pp 295-303 2008, © 2008 Cambridge University Press. |

Subjects: | Q Science > QA Mathematics |

Departments: | Faculty of Science and Technology > Mathematics and Statistics |

ID Code: | 59952 |

Deposited By: | ep_importer_pure |

Deposited On: | 12 Nov 2012 10:52 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 05 Feb 2016 01:50 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/59952 |

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