The Weil algebra of a Hopf algebra. I: A noncommutative framework

DOI10.1007/s00220-014-1902-7zbMath1315.81049arXiv1201.2040OpenAlexW2962726479MaRDI QIDQ2447583

Giovanni Landi, Michel Dubois-Violette

Publication date: 28 April 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2040

zbMATH Keywords

Lie algebraWeil algebragraded differential algebraalgebraic connectionCartan operation

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60)

Cites Work

• Principal fibrations from noncommutative spheres
• Non-commutative differential geometry
• Superconnections, Thom classes, and equivariant differential forms
• B.R.S. algebras. Analysis of the consistency equations in gauge theory
• The Weil-B.R.S. algebra of a Lie algebra and the anomalous terms in gauge theory
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Foliated bundles and characteristic classes
• Infinitesimal computations in topology
• Hopf algebras, cyclic cohomology and the transverse index theorem
• Cyclic cohomology and Hopf algebras
• Quantum group gauge theory on quantum spaces
• Erratum: Quantum group gauge theory on quantum spaces
• Noncommutative finite-dimensional manifolds. I: Spherical manifolds and related examples
• Conference Moshé Flato 1999. Selected papers of the conference, Dijon, France, September 5--8, 1999
• Differential and twistor geometry of the quantum Hopf fibration
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Remarks on the differential envelopes of associative algebras
• The non-commutative Weil algebra
• Lie prealgebras
• AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
• Noncommutative manifolds, the instanton algebra and isospectral deformations
• Cyclic cohomology of Hopf algebras
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