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Injectivity of Keller Mappings
Yucai Su
It is proved that for a Jacobi pair , the Keller mapping: for , is injective. In particular, the -dimensional Jaco…
Dual Lie Bialgebras of Witt and Virasoro Types
Guang'ai Song, Yucai Su
Structures of dual Lie bialgebras on the one sided Witt algebra, the Witt algebra and the Virasoro algebra are investigated. As a result, we obtain some infinite dimensional Lie al…
Character and dimension formulae for queer Lie superalgebra
Yucai Su, R. B. Zhang
Closed formulae are constructed for the characters and dimensions of the finite dimensional simple modules of the queer Lie superalgebra q(n). This is achieved by refining Brundan'…
Affine walled Brauer algebras
Hebing Rui, Yucai Su
A new class of associative algebras referred to as affine walled Brauer algebras are introduced. These algebras are free with infinite rank over a commutative ring containing 1. Th…
Generalised Jantzen filtration of Lie superalgebras II: the exceptional cases
Yucai Su, R. B. Zhang
Let be an exceptional Lie superalgebra, and let be the maximal parabolic subalgebra which contains the distinguished Borel subalgebra and has a purely even Levi subalgebra.…