Weil Modules and Gauge Bundles

被引：0
|
作者：
Miroslav Kureš
机构：
[1] Brno University of Technology,Institute of Mathematics
来源：
Acta Mathematica Sinica | 2006年 / 22卷
关键词：
Weil algebra; Product preserving bundle; Gauge bundle functor; Jet; 58A32; 58A20; 13H99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Finite dimensional modules over Weil algebras are investigated and corresponding gauge bundle functors, from the category of vector bundles into the category of fibered manifolds, are determined. The equivalence of the two definitions of gauge Weil functors is proved and a number of geometric examples is presented, including a new description of vertical Weil bundles.
引用
收藏
页码：271 / 278
页数：7
相关论文
共 50 条
  • [31] Gauge transformations for categorical bundles
    Chatterjee, Saikat
    Lahiri, Amitabha
    Sengupta, Ambar N.
    JOURNAL OF GEOMETRY AND PHYSICS, 2018, 133 : 219 - 241
  • [32] Enlarged geometries of gauge bundles
    Aldrovandi, R
    Barbosa, AL
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2000, 39 (12) : 2779 - 2796
  • [33] Chern–Weil map for principal bundles over groupoids
    Camille Laurent-Gengoux
    Jean-Louis Tu
    Ping Xu
    Mathematische Zeitschrift, 2007, 255 : 451 - 491
  • [34] PROJECTIVE MODULES AS FIBER BUNDLES
    EVANS, EG
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 27 (03) : 623 - &
  • [35] Modules attached to extension bundles
    Kedzierski, Dawid Edmund
    Meltzer, Hagen
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02):
  • [36] Modules attached to extension bundles
    Dawid Edmund Kędzierski
    Hagen Meltzer
    Boletín de la Sociedad Matemática Mexicana, 2022, 28
  • [37] THE WEIL HOMOMORPHISM FOR ALMOST PRINCIPAL FIBER-BUNDLES
    RAILEANU, LM
    REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES, 1981, 26 (02): : 317 - 325
  • [38] Smooth manifolds over local algebras and Weil bundles
    Shurygin V.V.
    Journal of Mathematical Sciences, 2002, 108 (2) : 249 - 294
  • [39] PROLONGATION OF POISSON 2-FORM ON WEIL BUNDLES
    Moukala, Norbert Mahoungou
    Bossoto, Basile Guy Richard
    ARCHIVUM MATHEMATICUM, 2016, 52 (02): : 91 - 111
  • [40] Weil representations associated with finite quadratic modules
    Fredrik Strömberg
    Mathematische Zeitschrift, 2013, 275 : 509 - 527
12345