Crossed modules for Lie color algebras

被引:0
|
作者
Pei, Feng [1 ,2 ]
Zhou, Jianhua [1 ]
机构
[1] School of Sciences, Southeast University, Nanjing 210096, China
[2] School of Management, Hefei University of Technology, Hefei 230009, China
来源
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2007年 / 37卷 / 06期
关键词
Algebra; -; Color;
D O I
暂无
中图分类号
学科分类号
摘要
The notion of crossed modules for Lie color algebras is introduced. Let L and P be Lie color algebras and let M be a graded module over P, the crossed modules which make M as their kerneland P cokernel are considered. It is shown that under a suitable equivalent relation, there is a bijection between the set of the equivalent classes CML (P, L; M) and the homogeneous components of degree zero of H3 (P, L; M).
引用
收藏
页码:1137 / 1140
相关论文
共 50 条
  • [41] A transfer theorem of the continuous trace and type i crossed product of a groupoid by a bundle of C-Algebras
    Tudor, Daniel
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2014, 76 (04): : 157 - 166
  • [42] Chain realization of differential modules with ∞-simplicial faces and the B-construction over A∞-algebras
    S. V. Lapin
    Mathematical Notes, 2015, 98 : 111 - 129
  • [43] Noncompactness Property of Fibers and Singularities of Non-Euclidean Kovalevskaya System on Pencil of Lie Algebras
    Kibkalo, V. A.
    MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2020, 75 (06) : 263 - 267
  • [44] Invertible modules for commutative [inline-graphic not available: see fulltext]-algebras with residue fields
    Andrew Baker
    Birgit Richter
    manuscripta mathematica, 2005, 118 : 99 - 119
  • [45] The Impact of Reflectance Variation in Silicon Heterojunction Solar Cells and Modules on the Perception of Color Differences
    Qiu, Kaifu
    Bittkau, Karsten
    Lambertz, Andreas
    Duan, Weiyuan
    Liang, Zongcun
    Shen, Hui
    Rau, Uwe
    Ding, Kaining
    IEEE JOURNAL OF PHOTOVOLTAICS, 2021, 11 (02): : 306 - 311
  • [46] Micro Modules for Mobile Shape, Color and Spectral Imaging with Smartpads in Industry, Biology and Medicine
    Hofmann, Dietrich
    Dittrich, Paul-Gerald
    Duentsch, Eric
    Kraus, Daniel
    MOBILE DEVICES AND MULTIMEDIA: ENABLING TECHNOLOGIES, ALGORITHMS, AND APPLICATIONS 2014, 2014, 9030
  • [47] Enveloping Σ-C*-algebra of a smooth Frechet algebra crossed product by ℝ,K-theory and differential structure inC*-algebras
    Subhash J. Bhatt
    Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2006, 116 : 161 - 173
  • [48] Classification of Irreducible (g, k)-Modules Associated to the Ideals of Minimal Nilpotent Orbits for Simple Lie Groups of Type A
    Tamori, Hiroyoshi
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, : 3814 - 3847
  • [49] Approximation of a generalized additive mapping in multi-Banach modules and isomorphisms in multi-C∗-algebras: a fixed-point approach
    Choonkil Park
    Reza Saadati
    Advances in Difference Equations, 2012
  • [50] Color-Biased Regions of the Ventral Visual Pathway Lie between Face- and Place-Selective Regions in Humans, as in Macaques
    Lafer-Sousa, Rosa
    Conway, Bevil R.
    Kanwisher, Nancy G.
    JOURNAL OF NEUROSCIENCE, 2016, 36 (05) : 1682 - 1697