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Embedding of pseudotensor category
Yao Rui, Wu Zhixiang
We realize the embedding functor from pseudotensor category to tensor category in a purely algebraic setting when the pseudotensor category is the category of left…
Hopf action on vertex algebras
Lipeng Luo, Zhixiang Wu
In present paper, some properties of Hopf action on vertex algebras will be given. We prove that $V#H$ is an -local vertex algebra but it is not a vertex algebra when…
Finite irreducible modules of Lie conformal algebras and some Schrödinger-Virasoro type Lie conformal algebras
Lipeng Luo, Yanyong Hong, Zhixiang Wu
Lie conformal algebras are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this paper, we first give…
Some Hopf Algebras related to
Yan Tan, Jing Wang, Zhixiang Wu
We define a series of Artin-Schelter Gorenstein Hopf algebras with injective dimensions 3. Radford's Hopf algebra and Gelaki's Hopf algebra are homomorphic images of . W…
Schrodinger-Virasoro Lie -pseudoalgebras
Zhixiang Wu
Schrodinger-Virasoro Lie algebras are annihilation algebras of Lie conformal algebras of rank three, which are widely studied by mathematicians and physicists. Conformal algebras a…
Simplicity of quadratic Lie conformal algebras
Yanyong Hong, Zhixiang Wu
In this paper, simplicity of quadratic Lie conformal algebras are investigated. From the point view of the corresponding Gel'fand-Dorfman bialgebras, some sufficient conditions and…