Dirac operators on quantum $SU(2)$ group and quantum sphere

Abstract

Definition of Dirac operators on the quantum group $S{U}_q(2)$ and the quantum sphere $S_{q\mu }^2$ are discussed. In both cases similar $S{U}_q(2)$-invariant form is obtained. It is connected with corresponding Laplace operators.

16 pages, LaTeX

References in corpus (1)

• Quantum groups and deformed special relativity

Cited by in corpus (4)

• Noncommutative Manifolds the Instanton Algebra and Isospectral Deformations
• Instantons on the Quantum 4-Spheres S^4_q
• Algebraic brane dynamics on SU(2): excitation spectra
• Dirac operator and its cohomology for the quantum group $U_q({\mathfrak{sl}}_2)$