Let be a prime integer and a field of characteristic different from . We prove that the essential -dimension ed of the class of central simple algebras of degree is at least . The integer measures complexity of the class of central simple algebras of degree over field extensions of .
"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