Representation-theoretic support spaces for finite group schemes

By E. Friedlander, J. Pevtsova. 2005

103 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

$\Pi$-supports for modules for finite group schemes (2007, methodology): “One justification for considering the space Π(G) of π-points of a finite group scheme G (rather than the simpler space P (G) considered in [14]) is that this space serves as a useful invariant for kG-modules which are not necessarily finite dimensional.”
The Galois group of a stable homotopy theory (2014, background): “This has been considered by several authors, for example in [63,76,24].”
Generic and maximal Jordan types (2007, background): “In [10], [12], Friedlander and Pevtsova present a uniform approach to the study of the cohomology and related representation theory of all finite group schemes.”
Varieties for Modules of Quantum Elementary Abelian Groups (2006, background): “One of the most important applications of the identification of the rank and support varieties in the setting of finite group schemes is the proof of the “tensor product property” which expresses the variety of a tensor product as the intersection of varieties (see [1], [16], [17], [31]).”
Modules of constant Jordan type (2007, background): “The collection of these points is denoted by PðGÞ, and was investigated extensively in [18].”
On cohomology and support varieties for Lie superalgebras (2010, methodology): “In this generality the realizability of supports was established using Friedlander and Pevtsova’s method [17] of concretely describing support varieties through π-points.”