Twisting of quantum differentials and the Planck scale Hopf algebra
From MaRDI portal
Publication:1809215
DOI10.1007/s002200050692zbMath0939.58007arXivmath/9811054OpenAlexW3102311218WikidataQ62100810 ScholiaQ62100810MaRDI QIDQ1809215
Publication date: 16 December 1999
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9811054
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Geometry of quantum groups (58B32) Deformation quantization, star products (53D55)
Related Items (35)
Cohomology of finite tensor categories: Duality and Drinfeld centers ⋮ Bicrossproduct approach to the Connes-Moscovici Hopf algebra. ⋮ Covariant four dimensional differential calculus in \(\kappa\)-Minkowski ⋮ CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS ⋮ GENERALIZED WEYL SYSTEMS AND κ-MINKOWSKI SPACE ⋮ Cohomology for Drinfeld doubles of some infinitesimal group schemes ⋮ Braided cyclic cocycles and nonassociative geometry ⋮ Pseudo-Riemannian metrics on bicovariant bimodules ⋮ Lifting via cocycle deformation. ⋮ The Green rings of the 2-rank Taft algebra and its two relatives twisted. ⋮ Cyclic homology for Hom-associative algebras ⋮ Gauge theories on quantum spaces ⋮ Discrete dynamical systems over double cross-product Lie groupoids ⋮ Yetter-Drinfeld modules under cocycle twists. ⋮ Covariant connections on bicovariant differential calculus ⋮ Quantum differentials on cross product Hopf algebras ⋮ On Hopf algebras over basic Hopf algebras of dimension 24 ⋮ Algebraic deformations of toric varieties. I: General constructions ⋮ Some construction of bicovariant differential calculi on weak Hopf algebras ⋮ Drinfeld doubles of the \(n\)-rank Taft algebras and a generalization of the Jones polynomial ⋮ Quantum groups and noncommutative geometry ⋮ Exterior differentials of higher order and their covariant generalization ⋮ Poisson-Riemannian geometry ⋮ Untwisting noncommutative \({\mathbb{R}}^d\) and the equivalence of quantum field theories ⋮ Cartan calculus for quantum differentials on bicrossproducts ⋮ Quantisation of twistor theory by cocycle twist ⋮ On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property ⋮ A CYCLIC INTEGRAL ON κ-MINKOWSKI NONCOMMUTATIVE SPACE–TIME ⋮ Finite-dimensional Nichols algebras over dual Radford algebras ⋮ Is quantum space-time infinite dimensional ⋮ Classification of finite-dimensional Hopf algebras over dual Radford algebras ⋮ Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent ⋮ Quantization by cochain twists and nonassociative differentials ⋮ Classification of bicovariant differential calculi over free orthogonal Hopf algebras ⋮ Extensions of peripheric extended twists and inhomogeneous Lie algebras
This page was built for publication: Twisting of quantum differentials and the Planck scale Hopf algebra