Essential dimension: a survey

Essential dimension: a survey

In the paper we survey research on the essential dimension. The highlights of the survey are the computations of the essential dimensions of finite groups, groups of multiplicative type and the spinor groups. We present self-contained proofs of these cases and give applications in the theory of simp...

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Veröffentlicht in:Transformation groups 2013-06, Vol.18 (2), p.415-481
1. Verfasser: Merkurjev, Alexander S.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Research-Expository Survey
Topological Groups
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Zusammenfassung:In the paper we survey research on the essential dimension. The highlights of the survey are the computations of the essential dimensions of finite groups, groups of multiplicative type and the spinor groups. We present self-contained proofs of these cases and give applications in the theory of simple algebras and quadratic forms.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-013-9216-y