Sanghoon Baek: Essential dimension of projective orthogonal and symplectic groups of small degree

Submission: 2011, Nov 20

In this paper, we study the essential dimension of classes of central simple algebras with involutions of index less or equal to 4. Using structural theorems for simple algebras with involutions, we obtain the essential dimension of projective and symplectic groups of small degree.

2010 Mathematics Subject Classification: 20G15, 16W10

Keywords and Phrases: essential dimension, linear algebraic group, algebra with involution

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