Dunkl angular momenta algebra
Misha Feigin (University of Glasgow)
Wednesday 24th January, 2018 16:00-17:00 Maths 116
Dunkl angular momenta algebra is a subalgebra of the rational Cherednik algebra. It is a flat deformation of the skew product of a Coxeter group with a quotient of the universal enveloping algebra U(so(n)). It can also be thought as a quantisation of the skew product of a Coxeter group and algebra of functions on the cone over Grassmanian of two-dimensional planes. Its centre is related to the angular part of Calogero-Moser integrable system. Central quotient of the Dunkl angular momenta algebra can be obtained as the algebra of global sections of the sheaf of Cherednik algebras on a quadric. The talk is based on joint works with T. Hakobyan and with D. Thompson.