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.<\/p>\n
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Abstract:\u00a0<\/strong>“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 \u2208 N \u22651 . Launois has verified Dixmier\u2019s 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_\u03b1,\u03b2 , is a quantum deformation\/analogue of A_2 (C) for some appropriate choices of \u03b1 and \u03b2. As in the case of A_2 (C), all derivations of A_\u03b1,\u03b2 are inner.”<\/p>\n","protected":false},"excerpt":{"rendered":"