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作品数:404被引量:391H指数:9
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相关领域:理学更多>>
相关作者:王栓宏罗伟刘文哲阮正杰陈刊更多>>
相关机构:四川大学河南大学东南大学武汉大学更多>>
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相关基金:国家自然科学基金国家重点基础研究发展计划中国博士后科学基金北京市自然科学基金更多>>
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Singular integral operators on product domains along twisted surfaces被引量:1
《Frontiers of Mathematics in China》2021年第1期13-28,共16页Ahmad AL-SALMAN 
We introduce a class of singular integral operators on product domains along twisted surfaces.We prove that the operators are bounded on L^(p) provided that the kernels satisfy weak conditions.
关键词:Singular integral operators on product domains rough kernels L^(p)estimates Hardy Littlewood maximal function truncated maximal singular integrals twisted surfaces block spaces 
Integrable systems,multicomponent twisted Heisenberg-Virasoro algebra and its central extensions
《Frontiers of Mathematics in China》2020年第6期1231-1243,共13页Yemo WU Xiurong XU Dafeng ZUO 
supported in part by the National Natural Science Foundation of China(Grant Nos.12071451,11671371,11871446).
Let DN be the multicomponent twisted Heisenberg-Virasoro algebra.We compute the second continuous cohomology group with cofficients in C and study the biharmiltonian Euler equations associated to DN and its central ex...
关键词:Bihamiltonian Euler equation multicomponent twisted Heisenberg-Virasoro algebra 
Super-biderivations on twisted N=1 Schrodinger-Neveu-Schwarz algebra
《Frontiers of Mathematics in China》2019年第5期907-922,共16页Zhenyuan NI Jiancai SUN 
J.-C.Sun’s work was supported by the National Natural Science Foundation of China(Grant Nos.11671247,11931009).
Let tsns^~ denote the twisted N=1 Schrodinger-Neveu-Schwarz algebra over the complex field C.In this paper,we determine the superskewsymmetric super-biderivations of tsns^~.Furthermore,we prove that every super-skewsy...
关键词:Lie super-algebra super-biderivation super-skewsymmetric 
Artin-Schelter twisted tensor regularity of products
《Frontiers of Mathematics in China》2018年第5期1141-1167,共27页Xin WANG Yuan SHEN 
We prove an Artin-Schelter regularity result for the method of twisted tensor products under a certain form. Such twisted tensor products, whose twisting maps are determined by the action on the generators, include Or...
关键词:Artin-Schelter regular (AS-regular algebra) algebra twisted tensor product pure resolution with respect to length 
Asymptotic estimate of a twisted Cauchy-Riemann operator with Neumann boundary condition
《Frontiers of Mathematics in China》2017年第6期1469-1481,共13页Hao WEN 
Abstract For a holomorphic function f defined on a strongly pseudo-convex domain in Cn such that it has only isolated critical points, we define a twisted Cauchy-Riemann operator -δτf :-δ+τδf∧. We will give an...
关键词:Asymptotic estimate residue pairing 
Sums of Fourier coefficients of cusp forms of level D twisted by exponential functions
《Frontiers of Mathematics in China》2017年第3期655-673,共19页Huan LIU 
This work was supported in part by the Natural Science Foundation of Shandong Province (No. ZR2015AM016).
Let g be a holomorphic or Maass Hecke newform of level D and nebentypus XD, and let ag(n) be its n-th Fourier coefficient. We consider the sum S1=∑ X〈n≤2x ag(n)e(an β) and prove that S1 has an asymptotic for...
关键词:exponential sums cusp form Fourier coefficients 
Twisted partial coactions of Hopf algebras
《Frontiers of Mathematics in China》2017年第1期63-86,共24页Quanguo CHEN Dingguo WANG Xiaodan KANG 
Acknowledgements This Foundation of China (Grant work was supported by Nos. 11471186, 11261063), the National Natural Science the Natural Science Foundation of Shandong Province (Nos. ZR2014AQ027 and ZR2014AQ024), and the Fund of the Key Disciplines in the General Colleges and Universities of Xin Jiang Uygur Autonomous Region (No. 2012ZDXK03).
In this paper, the notion of a twisted partial Hopf coaction is introduced. The conditions on partial cocycles are established in order to construct partial crossed coproducts. Then the classification of partial cross...
关键词:Hopf algebra partial crossed coproduct quasitriangular structure 
Classification of irreducible non-zero level quasifinite modules over twisted affine Nappi-Witten algebra
《Frontiers of Mathematics in China》2016年第2期269-277,共9页Xue CHEN 
This work was supported in part by the National Natural Science Foundation of China (Grant No. 11426191).
level over module or We obtain that every irreducible quasifinite module with non-zero the twisted affine Nappi-Witten algebra is either a highest weight a lowest one
关键词:Twisted affine Nappi-Witten algebra quasifinite module weight module 
Wakimoto modules for twisted multi-loop algebra of type A1 × A1
《Frontiers of Mathematics in China》2016年第2期323-338,共16页Dexin LAN Xiaoli KONG Jinglian JIANG 
We construct a class of modules for the twisted multi-loop algebra of type A1 × A1 by applying Wakimoto free bosonic realization. We also discuss the structures and the irreducibility of the Fock space.
关键词:Twisted multi-loop algebra Wakimoto module Pree bosonic field 
A twisted quantum toroidal algebra
《Frontiers of Mathematics in China》2013年第5期1117-1128,共12页Naihuan JING Rongjia LIU 
As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operator...
关键词:Vertex operator toroidal algebra quantum algebra 
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