CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION-Reference-Cited by-同舟云学术

CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION

Published:2011-07 Issue:06 Volume:23 Page:575-613
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

LANDI GIOVANNI¹²,ZAMPINI ALESSANDRO³

Affiliation:

1. Dipartimento di Matematica e Informatica, Università di Trieste, Via A. Valerio 12/1, I-34127, Trieste, Italy

2. INFN, Sezione di Trieste, Trieste, Italy

3. Mathematisches Institut, der Ludwig-Maximilians-Universität, Theresienstraße 39, 80333 München, Germany

Abstract

We describe Laplacian operators on the quantum group SUq(2) equipped with the four-dimensional bicovariant differential calculus of Woronowicz as well as on the quantum homogeneous space [Formula: see text] with the restricted left covariant three-dimensional differential calculus. This is done by giving a family of Hodge dualities on both the exterior algebras of SUq(2) and [Formula: see text]. We also study gauged Laplacian operators acting on sections of line bundles over the quantum sphere.

Publisher

World Scientific Pub Co Pte Lt

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129055X11004370

Reference33 articles.

1. Classification of three-dimensional covariant differential calculi on Podles' quantum spheres and on related spaces

2. THE 3D SPIN GEOMETRY OF THE QUANTUM TWO-SPHERE

3. Line bundles on quantum spheres

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