Definition Of A Quantum Group

Information and translations of quantum group in the most comprehensive dictionary definitions resource on the web.

Definition of a quantum group. Quantum definition quantity or amount. The smallest amount or unit of something especially energy. The phrase quantum group is more or less a synonym for hopf algebra. Quantum definition is quantity amount.

As a generalization a compact matrix quantum group is defined as a pair c u where c is a c algebra and is a matrix with entries in c such that the subalgebra c 0 of c which is generated by the matrix elements of u is dense in c. In physics a quantum plural quanta is the minimum amount of any physical entity physical property involved in an interaction the fundamental notion that a physical property can be quantized is referred to as the hypothesis of quantization. Allow for removal by moderators and thoughts about future. This is natural for the following reason.

This means that the magnitude of the physical property can take on only discrete values consisting of integer multiples of one quantum. A quantum group or hopf algebra is in the first place an algebra h which is also a coalgebra a coalgebra is just the same concept as an algebra but with all maps reversed so there is a coproduct δ h h h and a counit ε h ℂ in addition there should be a linearised inversion or antipode map s h h obeying some axioms. More precisely the category of quantum groups is defined in to be dual to the category of hopf algebras. The symmetry of the axioms means a deep.

Technical management energy mix price demand and grid analysis. Quantum group covers all the aspects of the project operations both in the technical and in the administrative and commercial side. What does quantum group mean. Featured on meta hot meta posts.

How to use quantum in a sentence. The least quantum of evidence.