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19992004
most citedSome representations of nongraded Lie algebras of generalized Witt type

1 citations · 3 across the 11 of their papers we have counts for

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math.QA2000

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 .

math.QA2000

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…

math.QA2000

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…

math.QA2000

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…

math.QA2000

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…

math.QA2000

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…