Weil restriction and support varieties

Abstract

This paper extends the comparison results for cohomological support varieties for Chevalley groups of the form G(𝔽p) established by J. Carlson, Z. Lin, and D. Nakano to Chevalley groups of the form G(𝔽pd). Other topics considered are complexity and non-maximal support varieties for modules. Techniques developed by J. Pevtsova and the author, together with the use of Weil restriction functors, are employed.