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

1996/08/15 by P. N. Bibikov, Bibikov, P. N., P. P. Kulish +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9608012

16 pages, LaTeX

arxiv created 1996/08/15 · openalex publication_date 1996/08/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Definition of Dirac operators on the quantum group SU_q(2) and the quantum sphere S²_{q μ} are discussed. In both cases similar SU_q(2)-invariant form is obtained. It is connected with corresponding Laplace operators.

Cited by

• Families of Dirac operators and quantum affine groups

Related

• On Dirac Operators and Spectral Geometry of Compact Quantum Groups
• Dirac operator on the Riemann sphere
• Spherical Functions for the Quantum Group su_q(2)
• Quantized Dirac Operators
• Dirac operator associated to a quantum metric