AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS
From MaRDI portal
Publication:4301065
DOI10.1142/S0217751X93000692zbMath0802.58007arXivhep-th/9207084WikidataQ115246310 ScholiaQ115246310MaRDI QIDQ4301065
Paolo Aschieri, Leonardo Castellani
Publication date: 11 December 1994
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9207084
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Yang-Mills and other gauge theories in quantum field theory (81T13)
Related Items (34)
Riemannian metric of the invariance quantum group of the fermion algebra ⋮ A differential calculus on the \(\mathbb{Z}_3\)-graded quantum group \(\mathrm{GL}_q(2)\) ⋮ Bicovariant differential geometry of the quantum group SL\(_ h(2)\) ⋮ \(R\)-matrix formulation of the quantum inhomogeneous groups ISO\(_{q,r}(N)\) and ISp\(_{q,r}(N)\) ⋮ Differential calculus on \(ISO_ q(N)\), quantum Poincaré algebra and \(q\)-gravity ⋮ \(N=4\) twisted superspace from Dirac-Kähler twist and off-shell SUSY invariant actions in four dimensions ⋮ Conceptions of space-time: problems and possible solutions ⋮ The quantum Cartan algebra associated to a bicovariant differential calculus ⋮ q-deformed Chern characters for quantum groups SUq(N) ⋮ Observables and dispersion relations in \(\kappa\)-Minkowski spacetime ⋮ On the noncommutative Riemannian geometry of GLq(n) ⋮ A NEW APPROACH IN BICOVARIANT DIFFERENTIAL CALCULUS ON SUq(2) ⋮ The Weil algebra of a Hopf algebra. I: A noncommutative framework ⋮ Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups ⋮ On the algebraic structure of differential calculus on quantum groups ⋮ Null-plane quantum universal \(R\)-matrix ⋮ Quantum groups and free differential algebras in field theory ⋮ Bicovariant calculus in quantum theory and a generalization of the Gauss law. ⋮ Finite group discretization of Yang-Mills and Einstein actions ⋮ Non-relativistic q-gases with low critical temperatures ⋮ On the biparametric quantum deformation of GL(2)⊗GL(1) ⋮ A \(q\)-deformed left-right symmetric model ⋮ Maps between deformed and ordinary gauge fields ⋮ DIRAC–KÄHLER FERMION FROM CLIFFORD PRODUCT WITH NONCOMMUTATIVE DIFFERENTIAL FORM ON A LATTICE ⋮ NONCOMMUTATIVE DE RHAM COHOMOLOGY OF FINITE GROUPS ⋮ Discretized Yang–Mills and Born–Infeld Actions on Finite Group Geometries ⋮ Dynamical noncommutativity and noether theorem in twisted \({\phi^{\star 4}}\) theory ⋮ A new quantum supergroup and its Gauss decomposition ⋮ Hidden quantum group structure in Einstein's general relativity ⋮ On the construction of covariant differential calculi on quantum homogeneous spaces ⋮ Left-covariant differential calculi on GL̃q(2) ⋮ Left-covariant first order differential calculus on quantum Hopf supersymmetry algebra ⋮ Bicovariant quantum algebras and quantum Lie algebras ⋮ Differential calculus on the inhomogeneous quantum groups \(\text{IGL}_ q(n)\)
This page was built for publication: AN INTRODUCTION TO NONCOMMUTATIVE DIFFERENTIAL GEOMETRY ON QUANTUM GROUPS