2 citations · 4 across the 4 of their papers we have counts for
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Nongraded Infinite-Dimensional Simple Lie Algebras
Xiaoping Xu
Nongraded infinite-dimensional Lie algebras appeared naturally in the theory of Hamiltonian operators, the theory of vertex algebras and their multi-variable analogues. They play i…
Central Simple Poisson Algebras
Yucai Su, Xiaoping Xu
In this paper, we determine the isomorphism classes of the central simple Poisson algebras introduced earlier by the second author. The Lie algebra structures of these Poisson alge…
Poisson and Hamiltonian Superpairs over Polarized Associative Algebras
Xiaoping Xu
Poisson superpair is a pair of Poisson superalgebra structures on a super commutative associative algebra, whose any linear combination is also a Poisson superalgebra structure. In…
Classifications of Simple Novikov Algebras and Their Irreducible Modules of Characteristic 0
Xiaoping Xu
In this paper, we first present a classification theorem of infinite-dimensional simple Novikov algebras over an algebraically closed field with characteristic 0. Then we classify…
Simple Conformal Algebras Generated by Jordan Algebras
Xiaoping Xu
In this article, we first give a short introduction to conformal algebras. Then we present three families of simple conformal algebras finite growth generated by simple Jordan alge…
Structure of Divergence-Free Lie Algebras
Yucai Su, Xiaoping Xu
One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polyno…