Cohomological invariants of odd degree Jordan algebras

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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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:
Journal Article
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.
Uncontrolled Keywords:
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Subjects:
ID Code:
59952
Deposited By:
Deposited On:
12 Nov 2012 10:52
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Jul 2020 04:02