69 citations · 587 across the 100 of their papers we have counts for
14 papers · 1 filter
Classification of irreducible weight modules with a finite dimensional weight space over twisted Heisenberg-Virasoro algebra
Ran Shen, Yucai Su
We show that the support of an irreducible weight module over the twisted Heisenberg-Virasoro algebra, which has an infinite dimensional weight space, coincides with the weight lat…
Lie bialgebras of generalized Virasoro-like type
Yuezhu Wu, Guang'ai Song, Yucai Su
In two recent papers by the authors, all Lie bialgebra structures on Lie algebras of generalized Witt type are classified. In this paper all Lie bialgebra structures on generalized…
Proof of Two Dimensional Jacobian Conjecture
Yucai Su
This paper is cancelled
Highest weight representations of a Lie algebra of Block type
Yuezhu Wu, Yucai Su
For a field of characteristic zero and an additive subgroup of , a Lie algebra of lock type is defined with basis and relations $[L_…
Representations of the Derivation Algebra of the Localization of the Quantum Plane at q=-1
Yucai Su, Linsheng Zhu
We determine the irreducible weight modules with weight multiplicities at most 1 over the derivation algebra of the localization of the quantum plane at q=-1.
Derivations and 2-Cocycles of Contact Lie Algebras Related to Locally-Finite Derivations
Guang'an Song, Yucai Su
Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large c…
2-Cocycles of the Lie superalgebras of Weyl type
Guang'an Song, Yucai Su
In a paper by Su and Zhao, the Lie algebra of Weyl type was defined and studied, where is a commutative associative algebra with an identity element over a…
Derivation Algebras of Centerless Perfect Lie Algebras Are Complete
Yucai Su, Linsheng Zhu
It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of…
Classification of Quasifinite Modules over Lie Algebras of Matrix Differential Operators on the Circle
Yucai Su
We prove that an irreducible quasifinite module over the central extension of the Lie algebra of -matrix differential operators on the circle is either a highest or lowe…
Classification of quasifinite -modules
Yucai Su, Bin Xin
It is proved that an irreducible quasifinite -module is a highest or lowest weight module or a module of the intermediate series; a uniformly bounded indecomposable weigh…
Verma modules over the generalized Heisenberg-Virasoro algebra
Ran Shen, Yucai Su
For any additive subgroup of an arbitrary field of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra . Given a total order of compa…
Derivations for the even part of the odd Hamiltonian superalgebra in positive characteristic
Xiuying Hua, Yucai Su
In this paper we mainly study the derivations for even part of the finite-dimensional odd Hamiltonian superalgebra over a field of prime characteristic. We first give the gene…
Derivations for the even part of the Hamiltonian superalgebra in positive characteristic
Wende Liu, Yucai Su, Yongzheng Zhang
In this paper we consider the derivations for even part of the finite-dimensional Hamiltonian superalgebra over a field of prime characteristic. We first introduce an ideal $\f…
Lie bialgebras of generalized Witt type
Guang'ai Song, Yucai Su
In a paper by Michaelis a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In…