Home > Research > Publications & Outputs > Cohomological invariants of odd degree Jordan a...

Electronic data

  • Download

    Rights statement: 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.

    Final published version, 499 KB, PDF-document

Links

Text available via DOI:

View graph of relations

Cohomological invariants of odd degree Jordan algebras

Research output: Contribution to journalJournal article

Published
<mark>Journal publication date</mark>09/2008
<mark>Journal</mark>Mathematical Proceedings of the Cambridge Philosophical Society
Issue number2
Volume145
Number of pages9
Pages (from-to)295-303
<mark>State</mark>Published
<mark>Original language</mark>English

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.

Bibliographic note

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.