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8 papers · 1 filter
Structure of a new class of non-graded infinite dimensional simple Lie algebras
Yucai Su
A new class of infinite dimensional simple Lie algebras over a field with characteristic 0 are constructed. These are examples of non-graded Lie algebras. The isomorphism classes o…
Structure of Algebras of Weyl Type
Yucai Su, Kaiming Zhao
In a paper by the authors, the associative and the Lie algebras of Weyl type were introduced, where is a commutative associative algebra with an identity e…
Monomial Hopf Algebras
Xiao-Wu Chen, Hua-Lin Huang, Yu Ye +1
Let be a field of characteristic 0 containing all roots of unity. We classify all the Hopf structures on monomial -coalgebras, or, in dual version, on monomial -algebras.
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…