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11 papers
A Drinfeld Presentation of the Queer Super-Yangian
Zhihua Chang, Yongjie Wang
We introduce a Drinfeld presentation for the super-Yangian associated with the queer Lie superalgebra . The Drinfeld generators of $\ma…
Braided tensor products and polynomial invariants for the quantum queer superalgebra
Zhihua Chang, Yongjie Wang
The classical invariant theory for the queer Lie superalgebra investigates its invariants in the supersymmetric algebra $$\mathcal{U}_{s,l}^{r,k}:=\mathrm{Sym}\lef…
The first fundamental theorem of invariant theory for the quantum queer superalgebra
Zhihua Chang, Yongjie Wang
The classical invariant theory for the queer Lie superalgebra is an investigation of the -invariant sub-superalgebra of the symmetric superalgebra $\mat…
Remarks on the Second Homology Groups of Queer Lie Superalgebras
Yongjie Wang, Zhihua Chang
The aim of this note is to completely determine the second homology group of the special queer Lie superalgebra coordinatized by a unital associative superalge…
Howe Duality for Quantum Queer Superalgebras
Zhihua Chang, Yongjie Wang
We establish a new Howe duality between a pair of quantum queer superalgebras . The key ingredient is the const…
Central extensions of generalized orthosymplectic Lie superalgebras
Zhihua Chang, Yongjie Wang
The key ingredient of this paper is the universal central extension of the generalized orthosymplectic Lie superalgebra coordinatized by a unital as…
Second homology of generalized periplectic Lie superalgebras
Zhihua Chang, Jin Cheng, Yongjie Wang
Let be an arbitrary unital associative superalgebra with superinvolution over a commutative ring with invertible. The second homology of the generalized peri…
Finite-dimensional subalgebras of the Virasoro algebra
Zhihua Chang
We determine all two-dimensional Lie subalgebras of the centreless Virasoro algebra and complete the characterization of all finite dimensional Lie subalgebras of the complex Viras…
On twisted large N=4 conformal superalgebras
Zhihua Chang, Arturo Pianzola
We explicitly compute the automorphism group of the large N = 4 conformal superalgebra and classify the twisted loop conformal superalgebras based on the large N = 4 conformal supe…
The automorphism group functor of the N=4 Lie conformal superalgebra
Zhihua Chang
In this paper, we study the structure and representability of the automorphism group functor of the N=4 Lie conformal superalgebra over an algebraically closed field k of character…
Automorphisms and twisted forms of the N = 1, 2, 3 Lie conformal superalgebras
Zhihua Chang, Arturo Pianzola
We classify the N = 1, 2, 3 superconformal Lie algebras of Schwimmer and Seiberg by means of differential non-abelian cohomology, and describe the general philosophy behind this ne…