74 citations · 328 across the 46 of their papers we have counts for
6 papers · 1 filter
q-Witt Algebras, q-Virasoro algebra, q-Lie Algebras, q-Holomorph Structure and Representations
Naihong Hu
For q generic or a primitive l-th root of unity, q-Witt algebras are described by means of q-divided power algebras. The structure of the universal q-central extension of the q-Wit…
Leibniz superalgebras and central extensions
Dong Liu, Naihong Hu
Dialgebras are generalizations of associative algebras which give rise to Leibniz algebras instead of Lie algebras. In this paper we study super dialgebras and Leibniz superalgebra…
Representations of Two-parameter Quantum Orthogonal and Symplectic Groups
Nantel Bergeron, Yun Gao, Naihong Hu
We investigate the finite-dimensional representation theory of two-parameter quantum orthogonal and symplectic groups that we found in [BGH] under the assumption that is…
Leibniz Algebras Graded by Finite Root Systems
Dong Liu, Naihong Hu
There are several researches on Lie algebras and Lie superalgebras graded by finite root systems. In this paper, we study Leibniz algebras graded by finite root systems and obtain…
Leibniz superalgebras graded by finite root systems
Naihong Hu, Dong Liu, and Linsheng Zhu
The structure of Lie algebras, Lie superalgebras and Leibniz algebras graded by finite root systems has been studied by several researchers since 1992. In this paper, we study the…
Drinfel'd Doubles and Lusztig's Symmetries of Two-Parameter Quantum Groups
Nantel Bergeron, Yun Gao, Naihong Hu
We find the defining structures of two-parameter quantum groups corresponding to the orthogonal and the symplectic Lie algebras, which are realized as Drinfel'd…