69 citations · 587 across the 100 of their papers we have counts for
8 papers · 2 filters
Classification of infinite dimensional weight modules over the Lie superalgebra
Yucai Su
We give a classification of infinite dimensional indecomposable weight modules over the Lie superalgebra .
2-Cocycles on the Lie algebras of generalized differential operators
Yucai Su
In a recent paper by Zhao and the author, the Lie algebras of Weyl type were defined and studied, where is a commutative associative algebra with an identi…
On indecomposable modules over the Virasoro algebra
Yucai Su
It is proved that an indecomposable Harish-Chandra module over the Virasoro algebra must be (i) a uniformly bounded module, or (ii) a module in Category , or (iii) a module…
Isomorphism classes and automorphism groups of algebras of Weyl type
Yucai Su, Kaiming Zhao
In one of our recent papers, the associative and the Lie algebras of Weyl type were defined and studied, where is a commutative associative algebra with an…
Simple algebras of Weyl type
Yucai Su, Kaiming Zhao
Over a field of any characteristic, for a commutative associative algebra with an identity element and for the polynomial algebra of a commutative derivation subalge…
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…
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…
Derivation-Simple Algebras and the Structures of Generalized Lie Algebras of Witt Type
Yucai Su, Xiaoping Xu, Hechun Zhang
We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the co…