69 citations · 587 across the 100 of their papers we have counts for
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Highest weight representations of a Lie algebra of Block type
Yuezhu Wu, Yucai Su
For a field of characteristic zero and an additive subgroup of , a Lie algebra of lock type is defined with basis and relations $[L_…
Representations of the Derivation Algebra of the Localization of the Quantum Plane at q=-1
Yucai Su, Linsheng Zhu
We determine the irreducible weight modules with weight multiplicities at most 1 over the derivation algebra of the localization of the quantum plane at q=-1.
Derivations and 2-Cocycles of Contact Lie Algebras Related to Locally-Finite Derivations
Guang'an Song, Yucai Su
Classical contact Lie algebras are the fundamental algebraic structures on the manifolds of contact elements of configuration spaces in classical mechanics. Xu introduced a large c…
2-Cocycles of the Lie superalgebras of Weyl type
Guang'an Song, Yucai Su
In a paper by Su and Zhao, the Lie algebra of Weyl type was defined and studied, where is a commutative associative algebra with an identity element over a…
Derivation Algebras of Centerless Perfect Lie Algebras Are Complete
Yucai Su, Linsheng Zhu
It is proved that the derivation algebra of a centerless perfect Lie algebra of arbitrary dimension over any field of arbitrary characteristic is complete and that the holomorph of…
Verma modules over the generalized Heisenberg-Virasoro algebra
Ran Shen, Yucai Su
For any additive subgroup of an arbitrary field of characteristic zero, there corresponds a generalized Heisenberg-Virasoro algebra . Given a total order of compa…
Lie bialgebras of generalized Witt type
Guang'ai Song, Yucai Su
In a paper by Michaelis a class of infinite-dimensional Lie bialgebras containing the Virasoro algebra was presented. This type of Lie bialgebras was classified by Ng and Taft. In…