English

A Hodge - De Rham Dirac operator on the quantum ${\rm SU}(2)$

Quantum Algebra 2024-01-04 v1 Mathematical Physics math.MP

Abstract

We describe how it is possible to describe irreducible actions of the Hodge - de Rham Dirac operator upon the exterior algebra over the quantum spheres SUq(2){\rm SU}_q(2) equipped with a three dimensional left covariant calculus.

Cite

@article{arxiv.1609.06276,
  title  = {A Hodge - De Rham Dirac operator on the quantum ${\rm SU}(2)$},
  author = {Fabio Di Cosmo and Giuseppe Marmo and Juan Manuel Pérez-Pardo and Alessandro Zampini},
  journal= {arXiv preprint arXiv:1609.06276},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-22T15:55:46.784Z