Leibniz rules and reality conditions

被引：13
|
作者：
Fiore, G
Madore, J
机构：
[1] Univ Naples Federico II, Fac Ingn, Dipartimento Matemat & Applicaz, I-80125 Naples, Italy
[2] Werner Heisenberg Inst, Max Planck Inst Phys, D-80805 Munich, Germany
[3] Univ Paris 11, Phys Theor & Hautes Energies Lab, F-91405 Orsay, France
来源：
EUROPEAN PHYSICAL JOURNAL C | 2000年 / 17卷 / 02期
关键词：
D O I：
10.1007/s100520000470
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
An analysis is made of reality conditions within the context of non-commutative geometry. We show that if a covariant derivative satisfies a given left Leibniz rule then a right Leibniz rule fixes the reality condition for the covariant derivative itself. We show also that the map which determines the right Leibniz rule must satisfy the braid equation if the extension of the covariant derivative to tensor products is to satisfy the reality condition.
引用
收藏
页码：359 / 366
页数：8
相关论文
共 50 条
12345