A finite group scheme G over a field k is equivalent to its coordinate algebra, a finite dimensional commutative Hopf algebra k[G] over k. In many contexts, it is natural to consider the rational (orâ€¦ (More)

Such a spectral sequence was conjectured by A. Beilinson [Be] as a natural analogue of the Atiyah-Hirzebruch spectral sequence from the singular cohomology to the topological K-theory of aâ€¦ (More)

In recent years, there has been considerable success in computing Extgroups of modular representations associated to the general linear group by relating this problem to one of computing Ext-groupsâ€¦ (More)

This is the first of two papers in which we determine the spectrum of the cohomology algebra of infinitesimal group schemes over a field k of characteristic p > 0. Whereas [SFB] is concerned withâ€¦ (More)

We investigate various aspects of the modular representation theory of Z=p Z=p with particular focus on modules of constant Jordan type. The special modules we consider and the constructions weâ€¦ (More)

One can use next the globalization machinery developed in [S-F] to get a similar looking spectral sequence for any smooth scheme of finite type over a field. Moreover, itâ€™s not hard to see that theâ€¦ (More)

For a finite group scheme G over a field k of characteristic p > 0, we associate new invariants to a finite dimensional kG-module M . Namely, for each generic point of the projectivized cohomologicalâ€¦ (More)