Jie Tong
Abstract
Non-commutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law.The non- commutative Poisson algebra structures on toroidal Lie algebras are determined,which is a generalization of the affine Kac-Moody algebra case.
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Non-commutative Poisson algebras are the algebras having both an associative algebra structure and a Lie algebra structure together with the Leibniz law.The non- commutative Poisson algebra structures on toroidal Lie algebras are determined,which is a generalization of the affine Kac-Moody algebra case.
Key concepts: Mathematics, Lie conformal algebra, Affine Lie algebra, Algebra representation, Non-associative algebra, Poisson algebra, Pure mathematics, Universal enveloping algebra