Document Type : Review Article

Authors

• Adam Chapman ¹
• Kelly McKinnie ²

¹ Academic College of Tel-Aviv-Yaffo

² Department of Mathematics, University of Montana, Missoula, MT 59812, USA

Abstract

This is a survey of the existing literature, the state of the art, and a few minor new results and open questions regarding the essential dimension of central simple algebras and finite sequences of such algebras over fields whose characteristic divides the degree of the algebras under discussion. Upper and lower bounds as well as a few precise evaluations of this dimension are included.

Keywords

• Essential Dimension
• Central Simple Algebras
• Fields of Positive Characteristic

Main Subjects

• Noncommutative algebra and related topics (MSC 16K, 16L, 16S)