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Higher trace forms and essential dimension in central simple algebras
Authors:Zinovy Reichstein
Affiliation:(1) Department of Mathematics, University of British Columbia, Vancouver, BC, V6T 1Z2, Canada
Abstract:
We show that the essential dimension of a finite-dimensional central simple algebra coincides with the essential dimension of its r-linear trace form, $$ (a_1, ldots, a_r) mapsto tr(a_1, ldots a_r), $$ for any r ≥ 3. Received: 15 March 2006
Keywords:11E76  16K20
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