A Hodge-de Rham Dirac operator on the quantum SU(2) Articles uri icon

publication date

  • February 2018

start page

  • 1

end page

  • 18

issue

  • 2

volume

  • 15

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

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 SUq(2) equipped with a three-dimensional left covariant calculus.

subjects

  • Mathematics

keywords

  • quantum spheres; hodge operators; laplacians