Bar complexes and extensions of classical exponential functors

Details Bar complexes and extensions of classical exponential functors Bar complexes and extensions of classical exponential functors

2010-12-13

arxiv.org/abs/1012.2724v3

Mathematics

Representation Theory

62 pages. Presentation improved. Sign issues are now taken care systematically by `regrading functors'

Scientific paper

We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane Spaces. Together with the article "Troesch complexes and the twisting spectral sequence" (arXiv 1005.3133), this article provides an alternative approach to classical Ext-computations in the category of strict polynomial functors over fields. We also obtain significant Ext-computations for strict polynomial functors over the integers.

Affiliated with

Also associated with

No associations

Rating

Bar complexes and extensions of classical exponential functors 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 Bar complexes and extensions of classical exponential functors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bar complexes and extensions of classical exponential functors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27200