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...
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...
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...
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...
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.
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...
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....
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...
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...