1 citations · 3 across the 11 of their papers we have counts for
17 papers · 1 filter
Composition factors of Kac-modules for the general linear Lie superalgebras
Yucai Su
The composition factors of Kac-modules for the general linear Lie superalgebras are explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt…
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…
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…