Metric compatibility and Levi-Civita connections on quantum groups
DOI10.1016/J.JALGEBRA.2024.07.039MaRDI QIDQ6632098
Publication date: 4 November 2024
Published in: Journal of Algebra (Search for Journal in Brave)
bicovariant bimodulesnoncommutative Riemannian geometryrational morphismsnon-equivariant connectionsnon-equivariant non-central metricstensor products of noncommutative connections
Noncommutative differential geometry (46L87) Lie algebras and Lie superalgebras (17Bxx) Associative rings and algebras with additional structure (16Wxx) Quantum groups (operator algebraic aspects) (46L67)
Cites Work
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- *-compatible connections in noncommutative Riemannian geometry
- Biinvertible actions of Hopf algebras
- Smash products and comodules of linear maps
- Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
- Differential calculus on quantized simple Lie groups
- Hopf modules and Yetter-Drinfel'd modules
- Differential calculus on compact matrix pseudogroups (quantum groups)
- Connections on central bimodules in noncommutative differential geometry
- Spin geometry on quantum groups via covariant differential calculi
- Classification of bicovariant differential calculi on quantum groups of type \(A, B, C\) and \(D\)
- Levi-Civita connections on quantum spheres
- Braided Cartan calculi and submanifold algebras
- Covariant connections on bicovariant differential calculus
- Noncommutative minimal embeddings and morphisms of pseudo-Riemannian calculi
- Levi-Civita's theorem for noncommutative tori
- Vector fields on quantum groups.
- The wedderburn-malcev theorem for comodule algebras
- AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
- Linear connections in non-commutative geometry
- Linear connections on matrix geometries
- Levi-Civita connections and vector fields for noncommutative differential calculi
- On the Koszul formula in noncommutative geometry
- On the Cohomology of Relative Hopf Modules
- A gravity theory on noncommutative spaces
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