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QUIVERS: 作品数：26被引量：22H指数：3; 导出分析报告; 相关领域：理学电子电信更多>>; 相关作者：郭凌燕谢涛黄华林平艳茹王艳华更多>>; 相关机构：北京师范大学中国科学技术大学复旦大学西北农林科技大学更多>>; 相关期刊：《Science China Mathematics》《Chinese Physics Letters》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划北京市自然科学基金国家教育部博士点基金更多>>

Completeness of Induced Cotorsion Pairs in Representation Categories of Rooted Quivers: 《Acta Mathematica Sinica,English Series》2024年第10期2436-2452,共17页Zhen Xing DI Li Ping LI Li LIANG Fei XU; partly supported by NSF of China(Grant No.11971388);partly supported by NSF of China(Grant No.12171146);partly supported by NSF of China(Grant No.12271230);partly supported by NSF of China(Grant No.12171297);the Scientific Research Funds of Huaqiao University(Grant No.605-50Y22050);the Fujian Alliance Of Mathematics(Grant No.2024SXLMMS04);the Foundation for Innovative Fundamental Research Group Project of Gansu Province(Grant No.23JRRA684)。; This paper focuses on a question raised by Holm and Jorgensen,who asked if the induced cotorsion pairs(Φ(X),Φ(X)^(⊥))and(^(⊥)Ψ(Y),Ψ(Y))in Rep(Q,A)—the category of all A-valued representations of a quiver Q—are...; 关键词：Rooted quiver complete cotorsion pair special precovering(preenveloping)subcategory

Phases of Stable Representations of Euclidean and Wild Quivers: 《Algebra Colloquium》2024年第3期505-524,共20页Magnus Engenhorst; We consider stable representations of non-Dynkin quivers with respect to a central charge.These attract a lot of interest in mathematics and physics since they can be identified with so-called BPS states.Another motiv...; 关键词：stable representation Euclidean quiver wild quiver Abelian category triangulated category

Exceptional Cycles in the Bounded Derived Categories of Quivers: 《Acta Mathematica Sinica,English Series》2020年第3期207-223,共17页Peng GUO Pu ZHANG; Supported by the NSFC(Grant No.11971304)。; An exceptional n-cycle in a Hom-finite triangulated category with Serre functor has been recently introduced by Broomhead,Pauksztello and Ploog.When n=1,it is a spherical object.We explicitly determine all the excepti...; 关键词：Exceptional CYCLE the Coxeter number the TUBULAR TYPE the LENGTH TYPE

Semilinear automorphisms of classical groups and quivers被引量：1: 《Science China Mathematics》2019年第11期2355-2370,共16页Jinwei Yang Zhiwei Yun; supported by the Packard Foundation; For a classical group G over a field F together with a finite-order automorphism θ that acts compatibly on F, we describe the fixed point subgroup of θ on G and the eigenspaces of θ on the Lie algebra g in terms of...; 关键词：SEMILINEAR AUTOMORPHISMS CLASSICAL GROUPS QUIVER

Maximal Cohen-Macaulay modules over a noncommutative 2-dimensional singularity: 《Frontiers of Mathematics in China》2019年第5期923-940,共18页Xiaoshan QIN Yanhua WANG James ZHANG; The authors thank the referees for the careful reading and very useful suggestions and thank Ken Brown,Daniel Rogalski,Robert Won,and Quanshui Wu for many useful conversations and valuable comments on the subject.Y.-H.Wang and X.-S.Qin thank the Department of Mathematics,University of Washington for its very supportive hospitality during their visits;X.-S.Qin was partially supported by the Foundation of China Scholarship Council(Grant No.[2016]3100);Y.-H.Wang was partially supported by the National Natural Science Foundation of China(Grant Nos.11971289,11871071);the Foundation of Shanghai Science and Technology Committee(Grant No.15511107300);the Foundation of China Scholarship Council(Grant No.[2016]3009);J.J.Zhang was partially supported by the US National Science Foundation(Grant No.DMS-1700825).; We study properties of graded maximal Cohen-Macaulay modules over an N-graded locally finite,Auslander Gorenstein,and Cohen-Macaulay algebra of dimension two.As a consequence,we extend a part of the McKay corresponden...; 关键词：NONCOMMUTATIVE quasi-resolution Artin-Schelter regular algebra MAXIMAL COHEN-MACAULAY module pretzeled QUIVERS

Path A∞ algebras of positively graded quivers: 《Frontiers of Mathematics in China》2018年第1期173-185,共13页Hao SU; Let A be a path A∞-algebra over a positively graded quiver Q. We prove that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a DG algebra with trivial differentia...; 关键词：A∞-algebras Koszul dual DG-algebras

Homological Properties in Relation to Nakayama Algebras: 《Journal of Applied Mathematics and Physics》2017年第1期153-167,共15页Kwasi Baah Gyamfi Abraham Aidoo Dickson Y. B. Annor; The goal of this paper is to investigate whether the Ext-groups of all pairs (M, N) of modules over Nakayama algebras of type (n,n,n) satisfy the condition ExtΛn(M,N)=0 for n >> 0 ? ExtΛn(M,N)=0 for n >> 0. We achie...; 关键词：QUIVERS Path ALGEBRAS Ext-Groups PROJECTIVE RESOLUTIONS

Representation theory of Dynkin quivers. Three contributions: 《Frontiers of Mathematics in China》2016年第4期765-814,共50页Claus Michael RINGEL; The representations of the Dynkin quivers and the corresponding Euclidean quivers are treated in many books. These notes provide three building blocks for dealing with representations of Dynkin （and Euclidean） quive...; 关键词：QUIVER Dynkin quiver Euclidean quiver the exceptional vertices of a Dynkin quiver representations of quivers thin representations filtrations of vector spaces conical representations of star quivers Auslander- Reiten quiver thick subcategories perpendicular subcategories one-point extension antichains of a poset antichains of an additive category simplifi- cation hammocks the 2-4-8 property the magic Freudenthal-Tits square

F-theory and N=1 Quivers from Polyvalent Geometry: 《Communications in Theoretical Physics》2016年第4期492-498,共7页Adil Belha j Moulay Brahim Sedra; We study four-dimensional quiver gauge models from F-theory compactified on fourfolds with hyper-K¨ahler structure.Using intersecting complex toric surfaces,we derive a class of N =1 quivers with charged fundamental ...; 关键词：F-theory D7-branes in type IIB superstring quiver gauge theories toric geometry

Biserial Incidence Algebras: 《Chinese Quarterly Journal of Mathematics》2014年第2期244-246,共3页HAN Guo-qiang YA O Hai-lou; Foundation item： Supported by the National Natural Science Foundation of China（11271119）; Supported by the Natural Science Foundation of Beijing（1122002）; Let K be an algebraically closed field and A be a finite dimensional algebra over K. In this paper we give a classification of biserial incidence algebras with quiver methods.; 关键词：biserial algebras incidence algebras representation type QUIVERS

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