Cohomological invariants of Jordan algebras with frames

School Of Mathematical Sciences

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Cohomological invariants of Jordan algebras with frames. / MacDonald, Mark.
In: Journal of Algebra, Vol. 323, No. 6, 15.03.2010, p. 1665-1677.

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

Harvard

MacDonald, M 2010, 'Cohomological invariants of Jordan algebras with frames', Journal of Algebra, vol. 323, no. 6, pp. 1665-1677. https://doi.org/10.1016/j.jalgebra.2009.08.022

APA

MacDonald, M. (2010). Cohomological invariants of Jordan algebras with frames. Journal of Algebra, 323(6), 1665-1677. https://doi.org/10.1016/j.jalgebra.2009.08.022

Vancouver

MacDonald M. Cohomological invariants of Jordan algebras with frames. Journal of Algebra. 2010 Mar 15;323(6):1665-1677. doi: 10.1016/j.jalgebra.2009.08.022

Author

MacDonald, Mark. / Cohomological invariants of Jordan algebras with frames. In: Journal of Algebra. 2010 ; Vol. 323, No. 6. pp. 1665-1677.

Bibtex

@article{c0c985cb3cb54b3cb8106603df3c2ce7,

title = "Cohomological invariants of Jordan algebras with frames",

abstract = "In a previous paper the author determined all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients, where J is a split central simple Jordan algebra of odd degree n⩾3. In the present paper we extend these results to a larger class of groups indexed by r=0, 1, 2 or 3, and ni positive integers that add to n⩾3 such that n1 is odd. We also give precise values for the essential dimension of these groups.",

keywords = "Cohomological invariants, Jordan algebras , Essential dimension , Quadratic and hermitian forms",

author = "Mark MacDonald",

year = "2010",

month = mar,

day = "15",

doi = "10.1016/j.jalgebra.2009.08.022",

language = "English",

volume = "323",

pages = "1665--1677",

journal = "Journal of Algebra",

issn = "0021-8693",

publisher = "ELSEVIER ACADEMIC PRESS INC",

number = "6",

}

RIS

TY - JOUR

T1 - Cohomological invariants of Jordan algebras with frames

AU - MacDonald, Mark

PY - 2010/3/15

Y1 - 2010/3/15

N2 - In a previous paper the author determined all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients, where J is a split central simple Jordan algebra of odd degree n⩾3. In the present paper we extend these results to a larger class of groups indexed by r=0, 1, 2 or 3, and ni positive integers that add to n⩾3 such that n1 is odd. We also give precise values for the essential dimension of these groups.

AB - In a previous paper the author determined all possible cohomological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients, where J is a split central simple Jordan algebra of odd degree n⩾3. In the present paper we extend these results to a larger class of groups indexed by r=0, 1, 2 or 3, and ni positive integers that add to n⩾3 such that n1 is odd. We also give precise values for the essential dimension of these groups.

KW - Cohomological invariants

KW - Jordan algebras

KW - Essential dimension

KW - Quadratic and hermitian forms

U2 - 10.1016/j.jalgebra.2009.08.022

DO - 10.1016/j.jalgebra.2009.08.022

M3 - Journal article

VL - 323

SP - 1665

EP - 1677

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

IS - 6

ER -

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