然后研究 中的有限维Hopf代数的对偶及其Hopf模基本定理. 弱cleft扩张;弱Yetter-Drinfeld范畴;Radford双积;对偶定理. ABSTRACT thecelebrated Inthis will discuss mainly Dr.degree’Sthesis,we of insomebraided theoreminthe of dual Hopfalgebra,theHopfalgebras -cry’Sduality theory for and Hopf coalgebrasgroup...
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph. Hopf Algebras 2024 pdf ...
]-algebrainwhichPisagivenHopfoperad.ThisfamilyofHopfP-algebrascontainsn-edge-coloredConnes-KreimerHopfalgebras.BasedontheresearchofMoerdijkandLaan,thispaperconstructsamoreextensivefamilyofHopfP-algebrasthroughtheinitialP[( !,n)!2⌦]-algebra,andfurthergeneralizesthestudyofMoerdijkandLaan:theconclusionofLaan...
(A1).Keywords:gradedalgebra,Hopfalgebra,Grothendieckgroup,dualgradedgraph2000MathematicsSubjectClassification.Hopfalgebras16W30;Grothendieckgroups18F30.interplaybetweentowersassociativealgebras,pairsdualcombina-torialHopfalgebras,dualgradedgraphs.Ourpointtwoconstructions:dualHopfalgebrasfromtowersalgebrassatisfyingsome...
usingthefactthatHisasymmetricalgebraandsomeinformationoftheJacobsonradicalofH.weprovethat日isofwildrepresentationtype.Finally.wegivetheminimalprojectivepresentationsandminimalinjectivepresentationsofsimplemodulesoverH.Consequently,wegetthealmostsplitsequencesstartingsimplemodulesover日,andthealmostsplitsequencesendingsimple...
个全序顶点能生成{介)条边,所以共有:(笙)种不同构的图类.dim.粼(幼。。。=:(:).其Hilbert \2I 级数为 Al(35)(二)=1+x二i+Y,2`2)二二 R2 参考文献: 1〔]AguiarM,BergeronN,SottileF.CombinatorialHopfAlgebraandGeneralizedDehn-SommervilleRelations[J].ToapperinCompositio Mathematiica 仁2]Sohmit...
Many of these chains can be explicitly diagonalized using the primitive elements of the algebra and the combinatorics of the free Lie algebra. For card shuffling, this gives an explicit description of the eigenvectors. For rock-breaking, an explicit description of the quasi-stationary distribution ...
PDF(493 KB) 数学学报 ›› 2011, Vol. 54 ›› Issue (2) : 293-300. DOI: 10.12386/A2011sxxb0030 论文 一类半单Hopf代数的结构 {{article.zuoZhe_CN}} 作者信息 + Structure of a Class of Semisimple Hopf Algebras {{article.zuoZhe_EN}} Author information + 文章历史 + ...
复规范形法求解共振双hopf分岔系统的最简规范形.pdf,中文摘要 规范形理论是研究非线性常微分方程的强有力工具之一,特别是在研究非线 性动力系统的稳定性和分岔方面发挥了非常重要的作用。目前规范形理论的研究 与实际应用正朝着最简与高维的方向发展,而且伴随着最简规范形
which appear parameters fordiseasescaused beaccounted byelectro—magneticexposure. may Keywords:HHM criterion algebra 独创性声明 本人声明所呈交的学位论文是本人在导师指导下进行的研究工作和取得的 研究成果,除了文中特另Ⅱ加以标注和致谢之处外,论文中不包含其他人已经发表 或撰写过的研究成果,也不包含为获得墨...