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We study the differential and Riemannian geometry of algebras $A$ endowed with an action of a triangular Hopf algebra $H$ and noncommutativity compatible with the associated braiding.
P. Aschieri, M. Dimitrijevic, F. Meyer. and J. Wess, Noncommutative geometry and gravity
1911
Earlier work this paper cites.
R. Abraham, J. E. Marsden, T. Ratiu, Manifolds, Tensor Analysis, and Applications
1988
Earlier work this paper cites.
S. L. Woronowicz, Differential calculus on compact matrix pseudogroups (quantum groups)
1989
Earlier work this paper cites.
N. Reshetikhin, Multiparameter quantum groups and twisted quasitriangular Hopf algebras
1990
Earlier work this paper cites.
K. H. Ulbrich, Smash products and comodules of linear maps
1990
Earlier work this paper cites.
D. Gurevich; A. Radul and V. Rubtsov Noncommutative differential geometry related to the Young-Baxter equation
1995
Earlier work this paper cites.
C. Kassel, Quantum Groups
1995
Earlier work this paper cites.
S. Majid, Foundations of Quantum Group Theory
1995
Earlier work this paper cites.
P. Aschieri and P. Schupp, Vector fields on quantum groups
1996
Earlier work this paper cites.
M. Dubois-Violette and P. W. Michor, Connections on central bimodules in noncommutative differential geometry
1996
Earlier work this paper cites.
A. Klimyk and K. Schmüdgen, Quantum Groups and Their Representations
1997
Earlier work this paper cites.
T. Lam, Lectures on Modules and Rings
1999
Earlier work this paper cites.
A. Connes and G. Landi, Noncommutative manifolds: The Instanton algebra and isospectral deformations
2001
Cited alongside, same era.
A. Connes and M. Dubois-Violette, Noncommutative finite-dimensional manifolds. I. Spherical manifolds and related examples
2002
Cited alongside, same era.
P. Etingof, S. Gelaki The classification of finite-dimensional triangular Hopf algebras over an algebraically closed field of characteristic 0
2003
Cited alongside, same era.
X. Gomez and S. Majid Braided Lie algebras and bicovariant differential calculi over coquasitriangular Hopf algebras
2003
Cited alongside, same era.
P. Aschieri, C. Blohmann, M. Dimitrijevic, F. Meyer, P. Schupp and J. Wess, A Gravity theory on noncommutative spaces
2005
Cited alongside, same era.
G. E. Barnes, A. Schenkel and R. J. Szabo, Nonassociative geometry in quasi-Hopf representation categories I: Bimodules and their internal homomorphisms
2015
Later among the works it cites.
P. Etingof, S. Gelaki, D. Nikshych, V. Ostrik Tensor Categories
2015
Later among the works it cites.
G. E. Barnes, A. Schenkel and R. J. Szabo, Nonassociative geometry in quasi-Hopf representation categories II: Connections and curvature
2016
Later among the works it cites.
J. Arnlind and M. Wilson, Riemannian curvature of the noncommutative 3-sphere
2017
Later among the works it cites.
Y. I. Manin Quantum Groups and Noncommutative Geometry
2018
Later among the works it cites.
F. Fathizadeh, M. Khalkhali, Curvature in noncommutative geometry
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