Colloquium on Algorithms and Representations
Abstract
Speaker: Jon F. Carlson (University of Georgia, USA)
Title: Thick Subcategories of the Relative Stable Category
Abstract:
Let \(G\) be a finite group and \(k\) an algebraically closed field of of characteristic \(p > 0\). Let H be a collection of \(p\)-subgroups of \(G\). We investigate the relative stable category \(stmod_H(kG)\) of finitely generated modules modulo \(H\)-projective modules. Triangles in this category correspond to \(H\)-split sequences. Hence, compared to the ordinary stable category there are fewer triangles and more thick subcategories. In this talk we describe several methods to construct thick tensor ideal subcategories. This is work in progress.