Article ID Journal Published Year Pages File Type
4585681 Journal of Algebra 2012 11 Pages PDF
Abstract

We produce examples in the cohomology of algebraic groups which answer two questions of Parshall and Scott. Specifically, if G=SL2, then we show: (a) can be arbitrarily large for a simple module L; and (b) if we define where the maximum is taken over all simple G-modules L, then the sequence {γm} grows exponentially fast with m.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory