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The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves

The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves We give an overview on the series of articles (Fiebig and Lanini, Filtered moment graph sheaves, arXiv:1508.05579 , 2015, Fiebig and Lanini, Periodic structures on affine moment graphs I: dualities and translation functors, arXiv:1504.01699 , 2015, Fiebig and Lanini, Periodic structures on affine moment graphs II: multiplicities and modular representations (in preparation)) that aims at introducing a new approach towards the “combinatorial” category introduced by Andersen, Jantzen and Soergel in their work on Lusztig’s conjecture on the irreducible highest weight characters of modular algebraic groups. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Springer Journals

The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves

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References (13)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Mathematisches Seminar der Universität Hamburg and Springer-Verlag Berlin Heidelberg
Subject
Mathematics; Mathematics, general; Algebra; Differential Geometry; Number Theory; Topology; Geometry
ISSN
0025-5858
eISSN
1865-8784
DOI
10.1007/s12188-016-0133-6
Publisher site
See Article on Publisher Site

Abstract

We give an overview on the series of articles (Fiebig and Lanini, Filtered moment graph sheaves, arXiv:1508.05579 , 2015, Fiebig and Lanini, Periodic structures on affine moment graphs I: dualities and translation functors, arXiv:1504.01699 , 2015, Fiebig and Lanini, Periodic structures on affine moment graphs II: multiplicities and modular representations (in preparation)) that aims at introducing a new approach towards the “combinatorial” category introduced by Andersen, Jantzen and Soergel in their work on Lusztig’s conjecture on the irreducible highest weight characters of modular algebraic groups.

Journal

Abhandlungen aus dem Mathematischen Seminar der Universität HamburgSpringer Journals

Published: Oct 5, 2016

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