Cohomological invariants of Jordan algebras with frames

JOURNAL OF ALGEBRA

卷:323

Article

MacDonald, Mark L.

关键词: Cohomological invariants;    Jordan algebras;    Essential dimension;    Quadratic and hermitian forms;   

DOI  :  10.1016/j.jalgebra.2009.08.022

来源: Elsevier

【 摘 要 】

In a previous paper the author determined all possible cohornological invariants of Aut(J)-torsors in Galois cohomology with mod 2 coefficients, where J is a split central simple Jordan algebra of odd degree it >= 3. In the present paper we extend these results to a larger class of groups G(ni...nd)(r) indexed by r = 0, 1, 2 or 3, and n(i) positive integers that add to it >= 3 such that it, is odd. We also give precise values for the essential dimension of these groups. (C) 2009 Elsevier Inc, All rights reserved.

【 授权许可】

Free