45 citations · 49 across the 14 of their papers we have counts for
17 papers
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…
Conformal triple derivations and triple homomorphisms of Lie conformal algebras
Sania Asif, Lipeng Luo, Yanyong Hong +1
Let be a finite Lie conformal algebra. In this paper, we first investigate the conformal derivation algebra , the conformal triple derivation algeb…
-Lie conformal algebras and its associated infinite-dimensional -Lie algebras
Mengjun Wang, Lipeng Luo, Zhixiang Wu
In this paper, we introduce a -bracket and a distribution notion of an -Lie conformal algebra. For any -Lie conformal algebra , there exists a series of…
Representations of Some Associative Pseudoalgebras
Zhixiang Wu
In this paper, we generalize Schur-Weyl duality and Morita Theorem on associative algebras to those on associative -pseudoalgebras. Meanwhile, we get a plenty of associative …
Companion points on the eigenvariety with non-regular weights
Zhixiang Wu
We prove the existence of all companion points on the eigenvariety of definite unitary groups associated with generic crystalline Galois representations with possibly non-regular w…
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…
Commutators of pre Lie -algebras and -algebras
Mengjun Wang, Zhixiang Wu
We show that a -algebra can be described by a nilpotent coderivation of degree on coalgebra . Based on this result, we can generalise the result of T. L…
Finite irreducible conformal modules of rank two Lie conformal algebras
Maosen Xu, Yanyong Hong, Zhixiang Wu
In the present paper, we prove that any finite non-trivial irreducible module over a rank two Lie conformal algebra is of rank one. We also describe the actions of $\…
Local models for the trianguline variety and partially classical families
Zhixiang Wu
We generalize Breuil-Hellmann-Schraen's local model for the trianguline variety to certain points with non-regular Hodge-Tate weights. With the local models we are able to prove, u…
Extensions of 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 give a comp…
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…
The LPM effect in sequential bremsstrahlung 2: factorization
Peter Arnold, Han-Chih Chang, Shahin Iqbal
The splitting processes of bremsstrahlung and pair production in a medium are coherent over large distances in the very high energy limit, which leads to a suppression known as the…
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…
Double loop quantum enveloping algebras
Zhixiang Wu
In this paper we describe certain homological properties and representations of a two-parameter quantum enveloping algebra of , where are group-lik…
The Model Of Paths For Generalized Kac-Moody Algebras
Zhixiang Wu
This submission has been withdrawn by arXiv administrators because of inappropriate authorship claims.