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A categorification of non-crossing partitions: Dedicated to the memory of Dieter Happel.
- Source :
-
Journal of the European Mathematical Society (EMS Publishing) . 2016, Vol. 18 Issue 10, p2273-2313. 41p. - Publication Year :
- 2016
-
Abstract
- We present a categorification of the non-crossing partitions given by crystallographic Coxeter groups. This involves a category of certain bilinear lattices, which are essentially determined by a symmetrisable generalised Cartan matrix together with a particular choice of a Coxeter element. Examples arise from Grothendieck groups of hereditary artin algebras. [ABSTRACT FROM AUTHOR]
- Subjects :
- *COXETER groups
*ALGEBRA
*MATHEMATICS theorems
*MATHEMATICAL formulas
*WEYL groups
Subjects
Details
- Language :
- English
- ISSN :
- 14359855
- Volume :
- 18
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of the European Mathematical Society (EMS Publishing)
- Publication Type :
- Academic Journal
- Accession number :
- 157485791
- Full Text :
- https://doi.org/10.4171/JEMS/641