Open Access
2014 Essential dimension of spinor and Clifford groups
Vladimir Chernousov, Alexander Merkurjev
Algebra Number Theory 8(2): 457-472 (2014). DOI: 10.2140/ant.2014.8.457

Abstract

We conclude the computation of the essential dimension of split spinor groups, and an application to algebraic theory of quadratic forms is given. We also compute essential dimension of the split even Clifford group or, equivalently, of the class of quadratic forms with trivial discriminant and Clifford invariant.

Citation

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Vladimir Chernousov. Alexander Merkurjev. "Essential dimension of spinor and Clifford groups." Algebra Number Theory 8 (2) 457 - 472, 2014. https://doi.org/10.2140/ant.2014.8.457

Information

Received: 27 March 2013; Revised: 25 May 2013; Accepted: 24 June 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1312.11024
MathSciNet: MR3212863
Digital Object Identifier: 10.2140/ant.2014.8.457

Subjects:
Primary: 11E04 , 11E57 , 11E72
Secondary: 11E81 , 14L35 , 20G15

Keywords: Essential dimension , linear algebraic groups , nonabelian cohomology , Quadratic forms , spinor groups , the fundamental ideal , torsor , Witt rings

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.8 • No. 2 • 2014
MSP
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