On Generic Extensions of Representations of a Dynkin Quiver of Type D

被引：0
|
作者：
Xiao Qin DENG
机构：
来源：
Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Dynkin quiver; Representation; Generic extension;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
The notion of generic extensions of representations of a Dynkin quiver plays a big role inthe study of the structure of the corresponding quantum group. In this paper, we describe the genericextensions of a simple representation by any representation and that of any representation by a simplerepresentation of a Dynkin quiver Q of type D.
引用
收藏
页码：613 / 622
页数：10
相关论文
共 50 条
  • [31] TREE REPRESENTATIONS OF THE QUIVER (D)over-tildem
    Lenart, Szabolcs
    Lorinczi, Abel
    Szanto, Csaba
    Szollodi, Istvan
    COLLOQUIUM MATHEMATICUM, 2022, 167 (02) : 261 - 302
  • [32] Embedding of the vertices of the Auslander-Reiten quiver of an iterated tilted algebra of Dynkin type Δ in ZΔ
    Hernández, OM
    Platzeck, MI
    JOURNAL OF ALGEBRA, 2003, 265 (01) : 247 - 263
  • [33] THE COMBINATORICS OF QUIVER REPRESENTATIONS
    Derksen, Harm
    Weyman, Jerzy
    ANNALES DE L INSTITUT FOURIER, 2011, 61 (03) : 1061 - 1131
  • [34] On the coordinate rings of quiver varieties associated to extended Dynkin diagrams
    Omoda, Y
    JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, 2000, 40 (02): : 315 - 336
  • [35] METRIC REPRESENTATIONS OF THE QUIVER
    SERGEICHUK, VV
    KHAVIDI, KM
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1988, (12): : 19 - 21
  • [36] D-branes, surface operators, and ADHM quiver representations
    Bruzzo, Ugo
    Chuang, Wu-Yen
    Diaconescu, Duiliu-Emanuel
    Jardim, Marcos
    Pan, G.
    Zhang, Yi
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2011, 15 (03) : 849 - 911
  • [37] On the Auslander-Reiten Quiver of the Representations of an Infinite Quiver
    Charles Paquette
    Algebras and Representation Theory, 2013, 16 : 1685 - 1715
  • [38] On the Auslander-Reiten Quiver of the Representations of an Infinite Quiver
    Paquette, Charles
    ALGEBRAS AND REPRESENTATION THEORY, 2013, 16 (06) : 1685 - 1715
  • [39] ON GLOBAL EXTENSIONS OF DYNKIN DIAGRAMS AND SINGULAR SURFACES OF THE TOPOLOGICAL TYPE OF P2
    BRENTON, L
    BINDSCHADLER, D
    DRUCKER, D
    PRINS, GCE
    PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS, 1983, 40 : 145 - 151
  • [40] On the Gabriel quiver of extensions of Leibniz algebras
    Bamogo, Ziwendtaore Hermann
    Wagemann, Friedrich
    COMMUNICATIONS IN ALGEBRA, 2025, 53 (02) : 794 - 813
12345