A Hodge–de Rham Dirac operator on the quantum SU(2)-Reference-Cited by-同舟云学术

A Hodge–de Rham Dirac operator on the quantum SU(2)

Published:2018-01-24 Issue:02 Volume:15 Page:1850030
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Di Cosmo Fabio¹,Marmo Giuseppe¹,Pérez-Pardo Juan Manuel²,Zampini Alessandro³

Affiliation:

1. Dipartimento di Scienze Fisiche, Università di Napoli Federico II, INFN — Sezione di Napoli, Via Cintia — 80126 Napoli, Italy

2. Departamento de Matemáticas, Universidad Carlos III de Madrid, Avda. de la Universidad 30, 28911 Leganés, Madrid, Spain

3. INFN — Sezione di Napoli, Via Cintia — 80126 Napoli, Italy

Abstract

We describe how it is possible to define a Hodge–de Rham Dirac operator associated to a suitable Cartan-Killing metric form upon the exterior algebra over the quantum spheres [Formula: see text] equipped with a three-dimensional left covariant calculus.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887818500305

Reference26 articles.

1. Quantum Clifford algebras from spinor representations

2. Quantum spinors and spin groups from quantum Clifford algebras

3. Dirac Operators on Quantum Projective Spaces

4. Bounded and unbounded Fredholm modules for quantum projective spaces

5. Dirac operators on the S3 and S2 spheres

Cited by 4 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. Symmetries and reduction Part II — Lagrangian and Hamilton–Jacobi picture;International Journal of Geometric Methods in Modern Physics;2021-11-11

2. Referencing Source Code Artifacts: A Separate Concern in Software Citation;Computing in Science & Engineering;2020-03

3. Attributing and Referencing (Research) Software: Best Practices and Outlook From Inria;Computing in Science & Engineering;2020-01-01

4. Derivation based differential calculi for noncommutative algebras deforming a class of three dimensional spaces;Journal of Geometry and Physics;2019-02