supported by the National Key Research and Development Project(No.SQ2020YFA070080);the National Natural Science Foundation of China(No.12001511);the Project of Stable Support for Youth Team in Basic Research Field CAS(No.YSBR-001);the Project of Analysis and Geometry on Bundles of the Ministry of Science and Technology of China and the Fundamental Research Funds for the Central Universities。
Let X be a complex smooth quasi-projective variety with a fixed epimorphism ν:π_(1)(X)■H,where H is a finitely generated abelian group with rank H≥1.In this paper,the authors study the asymptotic behaviour of Bett...
Supported by the National Natural Science Foundation of China(Grant No.12161013);the Basic Research Program(Natural Science)of Guizhou Province(Grant No.ZK[2023]025)。
In this paper,we consider Lie conformal algebras with derivations.A pair consisting of a Lie conformal algebra and a distinguished derivation is called a LieCDer pair.We introduce a cohomology theory for LieCDer pair ...
Supported by the Scientifc Research Foundation for Advanced Talents of GUFE(Grant No.2022YJ007);the Innovation Exploration and Academic Talent Project of GUFE(Grant No.2022XSXMB11);the Science and Technology Program of Guizhou Province(Grant Nos.QKHZC[2023]372;QKHJC-[2024]QN081);the Research Foundation for Science&Technology Innovation Team of Guizhou Province(Grant Nos.QJJ[2023]063;QJJ[2024]190);the Doctoral Research Start-Up Fundation of Guiyang University(Grant No.GYU-KY-2024)。
In this paper,we consider compatible Hom-Lie triple systems.More precisely,compatible Hom-Lie triple systems are characterized as Maurer-Cartan elements in a suitable bidifferential graded Lie algebra.We also define a...
supported by National Natural Science Foundation of China(Grant No.12171142)。
Let p be a prime and F be a finite field of characteristic p.Suppose that FG is the group algebra of the finite p-group G over the field F.Let V(FG)denote the group of normalized units in FG and let V_(*)(FG)denote th...
Assume that G is a finite non-abelian p-group.If G has an abelian maximal subgroup whose number of Generators is at least n,then G is called an M_(n)-group.For p=2,M_(2)-groups have been classified.For odd prime p,thi...
supported in part by the Division of Nuclear Physics,U.S.Department of Energy under Contract No.DE-AC05-00OR22725 with UT-Battelle,LLC.
If we approximate light quarks as massless and apply the Schwinger confinement mechanism to light quarks,we will reach the conclusion that a light quark and its antiquark will be confined as a boson in the Abelian U(1...
supported by the National Natural Science Foundation of China(Grant No.11974198);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302400);the Tsinghua University Initiative Scientific Research Program。
The recent progress of the Majorana experiments paves a way for the future tests of non-Abelian braiding statistics and topologically protected quantum information processing.However,a deficient design in those tests ...
This paper deals with some aspects of two-time physics (i.e., 2T + 3S five-dimensional space) for a Minkowski-like space with distinct speeds of causality for the time dimensions. Detailed calculations are provided to...