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2010 A lower bound on the essential dimension of simple algebras
Alexander Merkurjev
Algebra Number Theory 4(8): 1055-1076 (2010). DOI: 10.2140/ant.2010.4.1055

Abstract

Let p be a prime integer and F a field of characteristic different from p. We prove that the essential p-dimension edpCSA(pr) of the class CSA(pr) of central simple algebras of degree pr is at least (r1)pr+1. The integer edpCSA(pr) measures complexity of the class of central simple algebras of degree pr over field extensions of F.

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Alexander Merkurjev. "A lower bound on the essential dimension of simple algebras." Algebra Number Theory 4 (8) 1055 - 1076, 2010. https://doi.org/10.2140/ant.2010.4.1055

Information

Received: 27 November 2009; Revised: 30 March 2010; Accepted: 15 May 2010; Published: 2010
First available in Project Euclid: 20 December 2017

zbMATH: 1231.16017
MathSciNet: MR2832634
Digital Object Identifier: 10.2140/ant.2010.4.1055

Subjects:
Primary: 16K50
Secondary: 14L30 , 20G15

Keywords: algebraic tori , Brauer group , Essential dimension

Rights: Copyright © 2010 Mathematical Sciences Publishers

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Vol.4 • No. 8 • 2010
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