Leibniz rules and reality conditions

被引：0
|
作者：
G. Fiore
J. Madore
机构：
[1] Dip. di Matematica e Applicazioni,
[2] Fac. di Ingegneria,undefined
[3] Università di Napoli,undefined
[4] V. Claudio 21,undefined
[5] 80125 Napoli,undefined
[6] Italy ,undefined
[7] Max-Planck-Institut für Physik (Werner-Heisenberg-Institut),undefined
[8] Föhringer Ring 6,undefined
[9] 80805 München,undefined
[10] Germany ,undefined
[11] Laboratoire de Physique Théorique et Hautes Energies,undefined
[12] Université de Paris-Sud,undefined
[13] Bâtiment 211,undefined
[14] 91405 Orsay,undefined
[15] France ,undefined
来源：
The European Physical Journal C - Particles and Fields | 2000年 / 17卷
关键词：
Covariant Derivative; Reality Condition; Leibniz Rule; Braid Equation;
D O I：
暂无
中图分类号：
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.
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页码：359 / 366
页数：7
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