Ordinary Grothendieck groups of a Frobenius P-category

Details Ordinary Grothendieck groups of a Frobenius P-category Ordinary Grothendieck groups of a Frobenius P-category

2010-04-09

arxiv.org/abs/1004.1615v1

Mathematics

Group Theory

Scientific paper

In "Frobenius Categories versus Brauer Blocks", Progress in Math. 274, we have introduced the Frobenius categories F over a finite p-group P, and we have associated to F - suitably endowed with some central k*-extensions - a "Grothendieck group" as an inverse limit of Grothendieck groups of categories of modules in characteristic p obtained from F, determining its rank. Our purpose here is to introduce an analogous inverse limit of Grothendieck groups of categories of modules in characteristic zero obtained from F, determining its rank and proving that its extension to a field is canonically isomorphic to the direct sum of the corresponding extensions of the "Grothendieck groups" above associated with the centralizers in F of a suitable set of representatives of the F-classes of elements of P.

Affiliated with

Also associated with

No associations

Rating

Ordinary Grothendieck groups of a Frobenius P-category does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ordinary Grothendieck groups of a Frobenius P-category, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ordinary Grothendieck groups of a Frobenius P-category will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-221653