Modules of constant Jordan type

By Jon F. Carlson, Eric Friedlander, J. Pevtsova. 2007

74 citations recorded by the source corpus.

Abstract We introduce the class of modules of constant Jordan type for a finite group scheme G over a field k of characteristic p > 0. This class is closed under taking direct sums, tensor products, duals, Heller shifts and direct summands, and includes endotrivial modules. It contains all modules in an Auslander-Reiten component which has at least one module in the class. Highly non-trivial examples are constructed using cohomological techniques. We offer conjectures suggesting that there are strong conditions on a partition to be the Jordan type associated to a module of constant Jordan type.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/10ef3d12f213a81a6bb9c3bf90cf4b32f18b6c5b

How researchers see this paper

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

In Algebra and Number Theory

1. Eric Friedlander
2. J. Pevtsova
3. I. Bagci

In Geometry and Topology

1. Eric Friedlander
2. J. Pevtsova
3. A. Suslin
4. Vladimir Voevodsky
5. Charles A. Weibel
6. Ivan Panin
7. I. Bagci

In Mathematical Physics

1. Eric Friedlander
2. J. Pevtsova
3. A. Suslin
4. Vladimir Voevodsky
5. Charles A. Weibel
6. Ivan Panin
7. I. Bagci

Citations in the corpus

• Generic and maximal Jordan types (2007, background): “More sophisticated examples which re∞ect deeper properties of the representation theory of G are considered in [ 4 ].”