69 citations · 587 across the 100 of their papers we have counts for
8 papers · 1 filter
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…