Year: 2008
Type: article
Abstract: In this paper we determine all possible cohomological invariants ofAut(J)-torsors in Galois cohomology with mod 2 coefficients (characteristic of the base field not 2), forJa split central simple Jordan algebra of odd degreen≥ 3. This has already been done forJof 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 fornodd.
Author: MARK L. MacDONALD
Institution: University of Cambridge
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2964077622