VECTOR FIELDS ON QUANTUM GROUPS-Reference-Cited by-同舟云学术

VECTOR FIELDS ON QUANTUM GROUPS

Published:1996-03-10 Issue:06 Volume:11 Page:1077-1100
ISSN:0217-751X
Container-title:International Journal of Modern Physics A
language:en
Short-container-title:Int. J. Mod. Phys. A

Author:

ASCHIERI PAOLO¹²,SCHUPP PETER³

Affiliation:

1. Scuola Normale Superiore, Piazza dei Cavalieri 7, 56100 Pisa, Italy

2. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Italy

3. Sektion Physik der Ludwig-Maximilians-Universität München, Theoretische Physik — Lehrstuhl Professor Wess, Theresienstr. 37, D-80333 München, Germany

Abstract

We construct the space of vector fields on a generic quantum group. Its elements are products of elements of the quantum group itself with left-invariant vector fields. We study the duality between vector fields and one-forms and generalize the construction to tensor fields. A Lie derivative along any (also non-left-invariant) vector field is proposed and a puzzling ambiguity in its definition discussed. These results hold for a generic Hopf algebra.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217751X9600050X

Cited by 27 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Metric compatibility and Levi-Civita connections on quantum groups;Journal of Algebra;2025-01

2. Noncommutative geodesics and the KSGNS construction;Journal of Geometry and Physics;2020-12

3. Quantum Spacetime;Grundlehren der mathematischen Wissenschaften;2020

4. Quantum Riemannian Structures;Grundlehren der mathematischen Wissenschaften;2020

5. Quantum Complex Structures;Grundlehren der mathematischen Wissenschaften;2020