locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group and...

In mathematics, compact quantum groups are generalisations of compact groups, where the commutative C ∗ {\displaystyle \mathrm {C} ^{*}} -algebra of continuous...

include Drinfeld–Jimbo type quantum groups (which are quasitriangular Hopf algebras), compact matrix quantum groups (which are structures on unital separable...

locally compact abelian groups that allows generalizing Fourier transform to all such groups, which include the circle group (the multiplicative group of complex...

a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups are important...

locally compact groups. Compact group – Topological group with compact topology F. Riesz's theorem Locally compact field Locally compact quantum group – relatively...

locally compact topological group Locally compact field Locally compact quantum group – relatively new C*-algebraic approach toward quantum groupsPages displaying...

descriptions as a fallback Locally compact quantum group – relatively new C*-algebraic approach toward quantum groupsPages displaying wikidata descriptions...

topology. The algebra of all continuous functions on a Lie group is a locally compact quantum group. Quasi-Hopf algebras are generalizations of Hopf algebras...

of the Poincaré group is an example of the representation theory of a Lie group that is neither a compact group nor a semisimple group. It is fundamental...

descriptions as a fallback Compact group – Topological group with compact topology Locally compact field Locally compact quantum group – relatively new C*-algebraic...

{\displaystyle G} is replaced by a non-Abelian locally compact group or more generally a locally compact quantum group, a class of Hopf algebra related to von Neumann...

algebraic quantum groups, Int. J. Math. & Math. Sci., 31 (2002), 577—601 (with E. Bedos and L. Tuset). Differential calculi over compact quantum groups and...

theory to characterize quantum groups among Hopf algebras, similar to the characterization of Lie groups among locally compact groups." As mentioned in the...

locally compact and Hausdorff, so that the Haar measure can be definedPages displaying wikidata descriptions as a fallback Locally compact quantum group – relatively...

field of compact quantum groups, the rows and columns of the fundamental representation u ∈ M N ( C ) {\displaystyle u\in M_{N}(C)} of a quantum permutation...

operator algebras, K-theory of operator algebras, groupoids, locally compact quantum groups and singular foliations. In 2002 with Nigel Higson and Vincent Lafforgue...

interaction of a compact topological group and its category of linear representations. It is a natural extension of Pontryagin duality, between compact and discrete...

Quantum teleportation is a technique for transferring quantum information from a sender at one location to a receiver some distance away. While teleportation...

Lorentz transformation. In quantum gravity, Lorentz invariance measures the universal features in the hypothetical loop quantum gravity universes; which...

studied representation theory of the algebras of functions on compact quantum groups, and meromorphic braided monoidal categories. His long term collaboration...

language of dagger compact categories. All this follows from the completeness theorem, below. Categorical quantum mechanics takes dagger compact categories as...

electromagnetism or the color charge in quantum chromodynamics. Charges correspond to the time-invariant generators of a symmetry group, and specifically, to the generators...

descriptions as a fallback Locally compact quantum group – relatively new C*-algebraic approach toward quantum groupsPages displaying wikidata descriptions...

integer n and field F (usually C or R). The latter is called the compact symplectic group and is also denoted by U S p ( n ) {\displaystyle \mathrm {USp}...

infinity, where X is a locally compact Hausdorff space. C*-algebras were first considered primarily for their use in quantum mechanics to model algebras...

gives elegant descriptions of protocols such as quantum teleportation. In quantum theory, it being compact closed is related to the Choi-Jamiołkowski isomorphism...

{\displaystyle \Pi } is required to map into the group of unitary operators. If G is a compact Lie group, every finite-dimensional representation is equivalent...

The timeline of quantum mechanics is a list of key events in the history of quantum mechanics, quantum field theories and quantum chemistry. The initiation...

in 2001 with thesis advisor Alfons Van Daele and thesis Locally Compact Quantum Groups. As a postdoc, he worked from 1998 to 2002 at KU Leuven and from...