Seminario del grupo de teoría de Lie

Corey Jones – Lunes 13 de julio 14:00hs

«Triangle presentations and tilting modules for SL2k+1»

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 A˜_n−1 (n ≥ 3). From a type A˜_n−1 triangle presentation on a geometry of order q, we construct a fiber functor on the diagrammatic monoidal category Web(SL_n) over any field k with characteristic p ≥ n − 1 such that q ≡ 1 mod p. When k is algebraically closed and n odd, this gives new fiber functors on the category of tilting modules for SL_n.