69 citations · 587 across the 100 of their papers we have counts for
10 papers · 1 filter
Simple Lie Color Algebras of Weyl Type
Yucai Su, Kaiming Zhao, Linsheng Zhu
For an -color-commutative associative algebra with an identity element over a field of characteristic not 2, and for a color-commutative subalgebra of color-deri…
Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivations
Yucai Su
A class of nongraded Hamiltonian Lie algebras was earlier introduced by Xu. These Lie algebras have a Poisson bracket structure. In this paper, the isomorphism classes of these Lie…
Derivations and structure of the Lie algebras of Xu type
Yucai Su
We determine the derivation algebras and the isomorphism classes of a family of the simple Lie algebras introduced recently by Xu [Manuscripta Math 100 (1999), 489-518]. The struct…
Structure of the Lie algebras related to those of block
Yucai Su, Jianhua Zhou
We determine the isomorphism classes of the first family of infinite dimensional simple Lie algebras recently introduced by Xu. The structure space of these algebras is given expli…
Simple Modules Over the Higher Rank Super-Virasoro Algebras
Yucai Su
It is proved that uniformly bounded simple modules over higher rank super-Virasoro algebras are modules of the intermediate series, and that simple modules with finite dimensional…
Generalized Virasoro and Super-Virasoro Algebras and Modules of the Intermediate Series
Yucai Su, Kaiming Zhao
Generalized Virasoro algebras (defined as the universal central extension of some generalized Witt algebras) and super-Virasoro algebras and modules of the intermediate series are…
Z x Z-graded Lie algebras generated by the Virasoro algebra and
Yucai Su, Jiengfeng Zhang, Kaiming Zhao
The present paper is another step toward the classification of -graded Lie algebras: we classify -graded Lie algebras over a fi…
Some representations of nongraded Lie algebras of generalized Witt type
Yucai Su, Jianhua Zhou
In a paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them, are the simp…
Classification of Quasifinite Modules over the Lie Algebras of Weyl Type
Yucai Su
For a nondegenerate additive subgroup of the -dimensional vector space over an algebraically closed field of characteristic zero, there is an associative algebra a…
Classification of Harish-Chandra Modules over the Higher Rank Virasoro Algebras
Yucai Su
It is obtained that an irreducible weight module with finite weight multiplicities over a higher rank Virasoro or super-Virasoro algebra is either a module of the intermediate seri…