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
Full text: dvi.gz 16 k, dvi 39 k, ps.gz 813 k, pdf.gz 106 k, pdf 131 k.