Levi-Civita connection for SU_q(2)

2020/03/31 by Sugato Mukhopadhyay, Mukhopadhyay, Sugato
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.2003.14196

openalex publication_date 2020/03/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the 4D_± calculi on the quantum group SU_q(2) satisfy a metric-independent sufficient condition for the existence of a unique bicovariant Levi-Civita connection corresponding to every bi-invariant pseudo-Riemannian metric.

Citations

• Differential calculus on compact matrix pseudogroups (quantum groups)

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