Triangle presentations and tilting modules for SL
Corey Jones
North Carolina State University, Raleigh, USA
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Abstract
Triangle presentations are combinatorial structures on finite projective geometries which characterize groups acting simply transitively on the vertices of a locally finite building of type . From a type triangle presentation on a geometry of order , we construct a fiber functor on the diagrammatic monoidal category over any field with characteristic such that . When is algebraically closed and odd, this gives new fiber functors on the category of tilting modules for .
Cite this article
Corey Jones, Triangle presentations and tilting modules for SL. J. Comb. Algebra 5 (2021), no. 1, pp. 59–92
DOI 10.4171/JCA/50