HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES-Reference-Cited by-同舟云学术

HODGE DUALITY OPERATORS ON LEFT-COVARIANT EXTERIOR ALGEBRAS OVER TWO- AND THREE-DIMENSIONAL QUANTUM SPHERES

Published:2013-06 Issue:05 Volume:25 Page:1350009
ISSN:0129-055X
Container-title:Reviews in Mathematical Physics
language:en
Short-container-title:Rev. Math. Phys.

Author:

ZAMPINI ALESSANDRO¹²

Affiliation:

1. Mathematisches Institut der L.M.U., Theresienstrasse 39, D-80333 München, Germany

2. Université du Luxembourg, Faculté des Sciences, de la Technologie et de la Communication, 6, rue Richard Coudenhove-Kalergi, L-1359 Luxembourg, Luxembourg

Abstract

Using non-canonical braidings, we first introduce a notion of symmetric tensors and corresponding Hodge operators on a class of left-covariant 3d differential calculi over SU q(2), then we induce Hodge operators on the left-covariant 2d exterior algebra over the Podles 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/S0129055X13500098

Reference22 articles.

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

2. ∗-compatible connections in noncommutative Riemannian geometry

3. Gauged Laplacians on Quantum Hopf Bundles

4. CALCULI, HODGE OPERATORS AND LAPLACIANS ON A QUANTUM HOPF FIBRATION

5. Quantum groups, differential calculi and the eigenvalues of the Laplacian

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