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    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.

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Cohomological invariants of odd degree Jordan algebras

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Cohomological invariants of odd degree Jordan algebras. / MacDonald, Mark.
In: Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 145, No. 2, 09.2008, p. 295-303.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

MacDonald, M 2008, 'Cohomological invariants of odd degree Jordan algebras', Mathematical Proceedings of the Cambridge Philosophical Society, vol. 145, no. 2, pp. 295-303. https://doi.org/10.1017/S0305004108001485

APA

MacDonald, M. (2008). Cohomological invariants of odd degree Jordan algebras. Mathematical Proceedings of the Cambridge Philosophical Society, 145(2), 295-303. https://doi.org/10.1017/S0305004108001485

Vancouver

MacDonald M. Cohomological invariants of odd degree Jordan algebras. Mathematical Proceedings of the Cambridge Philosophical Society. 2008 Sept;145(2):295-303. doi: 10.1017/S0305004108001485

Author

MacDonald, Mark. / Cohomological invariants of odd degree Jordan algebras. In: Mathematical Proceedings of the Cambridge Philosophical Society. 2008 ; Vol. 145, No. 2. pp. 295-303.

Bibtex

@article{892efcfceb3f4596915d15e6c6c7c2d4,
title = "Cohomological invariants of odd degree Jordan algebras",
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.",
author = "Mark MacDonald",
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, {\textcopyright} 2008 Cambridge University Press.",
year = "2008",
month = sep,
doi = "10.1017/S0305004108001485",
language = "English",
volume = "145",
pages = "295--303",
journal = "Mathematical Proceedings of the Cambridge Philosophical Society",
issn = "0305-0041",
publisher = "Cambridge University Press",
number = "2",

}

RIS

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T1 - Cohomological invariants of odd degree Jordan algebras

AU - MacDonald, Mark

N1 - 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.

PY - 2008/9

Y1 - 2008/9

N2 - 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.

AB - 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.

U2 - 10.1017/S0305004108001485

DO - 10.1017/S0305004108001485

M3 - Journal article

VL - 145

SP - 295

EP - 303

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 2

ER -