Structure of a Class of Rank Two Lie Conformal Algebras

摘要

Letβbe a complex number,and a class of non-semisimple and non-solvable rank two Lie conformal algebras L(β)are introduced.In this paper,conformal derivations,conformal quasiderivations,generalized conformal derivations and conformal biderivations of L(β)are studied.Besides,central extensions and conformal modules of rank one of L(β)are determined.