Finite-dimensional duality on the generalized Lie algebra s1(2)(q)

摘要

We show a local duality between the left and right finite-dimensional representations on the enveloping algebra of sl(2)(q), the generalized Lie algebra introduced by Lyubashenko and Sudbery. This duality works in a general context of algebras satisfying certain algebraic properties; our goal in this paper is to prove that the enveloping algebra of sl(2)(q) satisfies these abstract properties. [References: 20]