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作品数:404被引量:391H指数:9
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相关作者:王栓宏罗伟刘文哲阮正杰陈刊更多>>
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A Boson-fermion Realization of Highest Weight Modules over g^(l)_(M|N)(θ)
《Acta Mathematica Sinica,English Series》2024年第12期2879-2903,共25页Fu Lin CHEN Xin HUANG Shao Bin TAN 
supported by National Natural Science Foundation of China(Grant No.12161141001);the Fundamental Research Funds for the Central Universities(Grant No.20720230020);S.Tan is supported by National Natural Science Foundation of China(Grant No.12131018)。
In this paper,we construct a superfermionic representation as well as a vertex representation for twisted general linear affine Lie superalgebras.We also establish a module isomorphism between them,which generalizes t...
关键词:Twisted affine Lie superalgebra integrable highest weight module super boson-fermion correspondence 
The Twisted Homology of Simplicial Set
《Acta Mathematica Sinica,English Series》2022年第10期1781-1802,共22页Meng Meng ZHANG Jing Yan LI Jie WU 
Supported by NSFC(Grant No.11971144);High-level Scientific Research Foundation of Hebei Province;the start-up research fund from BIMSA;supported by Postgraduate Innovation Funding Project of Hebei Province(Grant No.CXZZBS2022073)。
In this article,we give a generalization of δ-twisted homology introduced by Jingyan Li,Vladimir Vershinin and Jie Wu,called Δ-twisted homology,which enriches the theory of δ-(co)homology introduced by Alexander Gr...
关键词:Simplicial set Δ-Twisted homology Homotopy type Fibre bundle 
Some Results on Cohomology of Twisted Smash Coproduct
《Acta Mathematica Sinica,English Series》2022年第8期1484-1492,共9页Ling JIA 
Supported by the Natural Science Foundation of Shandong Provience(Grant No.ZR2012AL02)。
With the main motivation to present some alternatives to the cosemisimplicity of twisted Smash coproduct,this paper first gives some basic constructions which make sense to consider the derived functors of some left e...
关键词:Twisted Smash coproduct bicomodule coalgebra Hopf algebra spectral sequence 
Checkerboard Colourable Twuals被引量:1
《Acta Mathematica Sinica,English Series》2022年第3期612-622,共11页Qi YAN Xian An JIN 
Supported by NSFC(Grant Nos.12171402,12101600);the Fundamental Research Funds for the Central Universities(Grant Nos.20720190062,2021QN1037)。
In this article we show that any embedded graph has a checkerboard colourable twual,which is equivalent to having a bipartite twual.We also obtain that any Eulerian embedded graph has a checkerboard colourable partial...
关键词:Embedded graphs twuals twisted dual partial duality petrie dual medial graphs direction checkerboard colourable 
Quasi-modularity and Holomorphic Anomaly Equation for the Twisted Gromov–Witten Theory: O(3) over P^2
《Acta Mathematica Sinica,English Series》2019年第12期1945-1962,共18页Xin WANG 
Supported by NSFC(Grant No.11601279);by Shandong Provincial Natural Science Foundation,China(Grant No.ZR2016AQ05)
In this paper,we prove quasi-modularity property for the twisted Gromov–Witten theory of O(3)over P^2.Meanwhile,we derive its holomorphic anomaly equation.
关键词:Quasi-modularity HOLOMORPHIC ANOMALY EQUATION TWISTED Gromov-Witten theory 
Twisted Hamiltonian Lie Algebras and Their Multiplicity-Free Representations
《Acta Mathematica Sinica,English Series》2011年第1期45-72,共28页Ling CHEN 
Supported by National Natural Science Foundation of China (Grant No. 10871193)
We construct a class of new Lie algebras by generalizing the one-variable Lie algebras generated by the quadratic conformal algebras (or corresponding Hamiltonian operators) associated with Poisson algebras and a qu...
关键词:Hamiltonian Lie algebras representation SIMPLICITY IRREDUCIBILITY 
A Note on Generalized Twisted Anomaly Cancellation Formulas
《Acta Mathematica Sinica,English Series》2010年第8期1499-1508,共10页Yong WANG 
Supported by National Natural Science Foundation of China (Grant No. 10801027);Fok Ying Tong Education Foundation (Grant No. 121003)
In this note, by studying modular invariance properties of some characteristic forms, we get some new twisted anomaly cancellation formulas.
关键词:Modular invariance cancellation formulas 
Automorphism Group and Representation of a Twisted Multi-loop Algebra被引量:3
《Acta Mathematica Sinica,English Series》2010年第1期143-154,共12页Cui CHEN Hai Feng LIAN Shao Bin TAN 
Supported by National Natural Science Foundation of China (Grant No. 10671160);the Education Department of Fujian Province (Grant No. JBS07087)
Let G be the complexification of the real Lie algebra so(3) and A = C[t1^±1, t2^±1] be the Lau-ent polynomial algebra with commuting variables. Let L:(t1, t2, 1) = G c .A be the twisted multi-loop Lie algebra....
关键词:Lie algebra automorphism group REPRESENTATION 
Irreducible Weight Modules over the Twisted SchrSdinger-Virasoro Algebra被引量:2
《Acta Mathematica Sinica,English Series》2009年第4期531-536,共6页Jun Bo LI Yu Cai SU 
Supported by China Postdoctoral Science Foundation Grant 20080440720, NSF Grants 10671027, 10825101 of China and "One Hundred Talents Program" from University of Science and Technology of China
It is shown that the support of an irreducible weight module over the SchrSdinger-Virasoro Lie algebra with an infinite-dimensional weight space coincides with the weight lattice, and all nontrivial weight spaces of s...
关键词:Schrodinger-Virasoro Lie algebras weight modules irreducible modules 
On the Structure of Graded λ-Hopf Algebras被引量:8
《Acta Mathematica Sinica,English Series》2009年第1期95-108,共14页Jian Hua SUN Pu ZHANG 
Supported by the National Natural Science Foundation of China;Yangzhou University Natural Science Foundation
Let G be an abelian group, B the G-graded λ-Hopf algebra with A being a bicharacter on G. By introducing some new twisted algebras (coalgebras), we investigate the basic properties of the graded antipode and the st...
关键词:twisted algebra (coalgebra) graded Hopf algebra graded antipode 
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