Noncommutative algebras associated to complexes and graphs

被引:0
|
作者
Gelfand I. [1 ]
Gelfand S. [2 ,3 ]
Retakh V. [1 ]
机构
[1] Department of Mathematics, Rutgers University, Piscataway, NJ 08854-8019
[2] American Mathematical Society, Providence, RI 02940
[3] Institute for Problems of Information, Moscow 103051, Transmission 19, Ermolova str
基金
美国国家科学基金会;
关键词
Complexes; Graphs; Noncommutative algebras;
D O I
10.1007/s00029-001-8097-4
中图分类号
学科分类号
摘要
A new class of noncommutative algebras associated to complexes and graphs is introduced. Algebras associated to one-dimensional complexes are studied. © Birkhäuser Verlag, 2001.
引用
收藏
页码:525 / 531
页数:6
相关论文
共 50 条
  • [21] On the cohomology of Lie algebras associated with graphs
    Aldi, Marco
    Butler, Andrew
    Gardiner, Jordan
    Grandini, Daniele
    Lichtenwalner, Monica
    Pan, Kevin
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2025, 229 (01)
  • [22] C*-algebras associated to graphs of groups
    Brownlowe, Nathan
    Mundey, Alexander
    Pask, David
    Spielberg, Jack
    Thomas, Anne
    ADVANCES IN MATHEMATICS, 2017, 316 : 114 - 186
  • [23] Isomorphisms of algebras associated with directed graphs
    Katsoulis, E
    Kribs, DW
    MATHEMATISCHE ANNALEN, 2004, 330 (04) : 709 - 728
  • [24] On a class of algebras associated to directed graphs
    Gelfand, Israel
    Retakh, Vladimir
    Serconek, Shirlei
    Wilson, Robert Lee
    SELECTA MATHEMATICA-NEW SERIES, 2005, 11 (02): : 281 - 295
  • [25] Algebras associated to pseudo-roots of noncommutative polynomials are Koszul
    Piontkovski, D
    INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2005, 15 (04) : 643 - 648
  • [26] Comments on noncommutative quantum mechanical systems associated with Lie algebras
    Smilga, Andrei
    JOURNAL OF GEOMETRY AND PHYSICS, 2022, 180
  • [27] NONCOMMUTATIVE HP SPACES ASSOCIATED WITH TYPE 1 SUBDIAGONAL ALGEBRAS
    Zhang, Ruihan
    Ji, Guoxing
    HOUSTON JOURNAL OF MATHEMATICS, 2021, 47 (03): : 613 - 622
  • [28] ON NONCOMMUTATIVE NONASSOCIATIVE ALGEBRAS
    HATHWAY, RG
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 16 (01): : 257 - &
  • [29] NONCOMMUTATIVE POISSON ALGEBRAS
    XU, P
    AMERICAN JOURNAL OF MATHEMATICS, 1994, 116 (01) : 101 - 125
  • [30] Noncommutative Novikov algebras
    Sartayev, Bauyrzhan
    Kolesnikov, Pavel
    EUROPEAN JOURNAL OF MATHEMATICS, 2023, 9 (02)