Quantum isometries of the finite noncommutative geometry of the standard model
From MaRDI portal
Publication:644754
DOI10.1007/s00220-011-1301-2zbMath1236.81191arXiv1009.2850OpenAlexW2044640786MaRDI QIDQ644754
Francesco D'Andrea, Jyotishman Bhowmick, Ludwik Dąbrowski
Publication date: 7 November 2011
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1009.2850
Unified quantum theories (81V22) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Noncommutative geometry in quantum theory (81R60)
Related Items (13)
A duality principle for noncommutative cubes and spheres ⋮ Unitary easy quantum groups: geometric aspects ⋮ Quantum isometries and group dual subgroups ⋮ HALF-LIBERATED MANIFOLDS AND THEIR QUANTUM ISOMETRIES ⋮ Categories of two-colored pair partitions. Part II: Categories indexed by semigroups ⋮ Liberations and twists of real and complex spheres ⋮ Graded twisting of categories and quantum groups by group actions ⋮ Categories of two-colored pair partitions. I: Categories indexed by cyclic groups ⋮ Quantum groups, from a functional analysis perspective ⋮ Homogeneous quantum groups and their easiness level ⋮ The standard model in noncommutative geometry and Morita equivalence ⋮ Quantum gauge symmetries in noncommutative geometry ⋮ Real spectral triples on crossed products
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The spectral geometry of the equatorial Podleś sphere
- Invariants of the half-liberated orthogonal group
- Quantum group of isometries in classical and noncommutative geometry
- Some counterexamples in the theory of quantum isometry groups
- Quantum group of orientation-preserving Riemannian isometries
- Quantum automorphism groups of small metric spaces.
- The Dirac operator on \(\text{SU}_{q}(2)\)
- The isospectral Dirac operator on the 4-dimensional orthogonal quantum sphere
- Quantum isometry group for spectral triples with real structure
- Quantum isometry groups of the Podles spheres
- Quantum isometry groups of noncommutative manifolds associated to group \(C^{*}\)-algebras
- Compact matrix pseudogroups
- Quantum symmetry groups of finite spaces
- Ergodic actions of universal quantum groups on operator algebras
- The spectral action principle
- On the finite-dimensional quantum group \(M_3\oplus (M_{2\mid 1}(\Lambda^2))_0\)
- The free compact quantum group \(U(n)\)
- Free products of compact quantum groups
- Symmetries of quantum spaces. Subgroups and quotient spaces of quantum \(SU(2)\) and \(SO(3)\) groups
- On the spectral characterization of manifolds
- Quantum \(\mathrm{SO}(3)\) groups and quantum group actions on \(M_{2}\)
- Why the standard model
- Gravity and the standard model with neutrino mixing
- Quantum automorphism groups of homogeneous graphs
- Quantum isometry groups of $0$-dimensional manifolds
- A FINITE QUANTUM SYMMETRY OF $M(3, {\Bbb C})$
- Quantum automorphism groups of finite graphs
- Noncommutative geometry and reality
- UNIVERSAL QUANTUM GROUPS
This page was built for publication: Quantum isometries of the finite noncommutative geometry of the standard model
