Kanakubo, Y.; Nakashima, T.
(Symmetry, Integrability and Geometry: Methods and Applications, 2015)
Let G be a simply connected simple algebraic group over C, B and B− be two opposite Borel subgroups in G and W be the Weyl group. For u, v∈W, it is known that the coordinate ring C[Gu,v] of the double Bruhat cell Gu,v=BuB∩B−vB− ...