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math.RT2023
Planar networks and simple Lie groups beyond type A
Anton Izosimov
The general linear group , along with its adjoint simple group , can be described by means of weighted planar networks. In this paper we give a network description f…
math.SG2023
Coadjoint orbits of area-preserving diffeomorphisms of non-orientable surfaces
Anton Izosimov, Boris Khesin, Ilia Kirillov
We give a classification of generic coadjoint orbits for the group of area-preserving diffeomorphisms of a closed non-orientable surface. This completes V. Arnold's program of stud…