5 citations · 8 across the 5 of their papers we have counts for
5 papers
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…
Character and dimension formulae for general linear superalgebra
Yucai Su, R. B. Zhang
The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. Using the result we e…
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…
Cohomology of Lie superalgebras and
Yucai Su, R. B. Zhang
We explicitly compute the first and second cohomology groups of the classical Lie superalgebras and with coefficients in the finite dimensional irreducible…