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math.QA2004
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…
math.QA2004
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…
math.QA2004
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…