4 papers · 1 filter
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
Periodic elements in finite type Artin-Tits groups and stability conditions
Edmund Heng, Anthony M. Licata, Oded Yacobi
Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action…
On the action of the Weyl group on canonical bases
Fern Gossow, Oded Yacobi
We study representations of simply-laced Weyl groups which are equipped with canonical bases. Our main result is that for a large class of representations, the separable elements o…
Relations between generalised Gelfand-Tsetlin and Kazhdan-Lusztig bases of
Ali Haidar, Oded Yacobi
We prove that the Kazhdan-Lusztig basis of Specht modules is upper triangular with respect to all generalized Gelfand-Tsetlin bases constructed from any multiplicity-free tower of…