Isaac Oppong will be giving a talk entitled “A quantum deformation of the second Weyl algebra and its derivations”. As usual we will be on Microsoft Teams at 4pm on the Friday.
Abstract: “Let g be a nilpotent Lie algebra, U (g) an enveloping algebra of g and P a primitive ideal of U (g). Dixmier proved that the factor algebra U (g)/P is isomorphic to an nth Weyl algebra A_n (C), where n ∈ N ≥1 . Launois has verified Dixmier’s result for the first Weyl algebra A_1 (C). In this talk, we will investigate the result for the second Weyl algebra A_2 (C). More precisely, if q is a root of unity, then one of the primitive quotients of the quantized enveloping algebra U_q + (G_2 ), which we denote by A_α,β , is a quantum deformation/analogue of A_2 (C) for some appropriate choices of α and β. As in the case of A_2 (C), all derivations of A_α,β are inner.”