On the quantum groups and semigroups of maps between noncommutative spaces

Title:

On the quantum groups and semigroups of maps between noncommutative spaces

Creator:

Sadr, Maysam Maysami

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:ccad535f-5e22-4d6a-8bfe-bbd8ab0da02e
uuid:ccad535f-5e22-4d6a-8bfe-bbd8ab0da02e
issn:0011-4642

Subject:

matematika, mathematics, kvantová skupina, nekomutativní geometrii, Hopf-algebra, bialgebra, quantum groups, noncommutative geometry, 13, and 51

Type:

model:article and TEXT

Format:

print, bez média, and svazek

Description:

We define algebraic families of (all) morphisms which are purely algebraic analogs of quantum families of (all) maps introduced by P. M. Sołtan. Also, algebraic families of (all) isomorphisms are introduced. By using these notions we construct two classes of Hopf-algebras which may be interpreted as the quantum group of all maps from a finite space to a quantum group, and the quantum group of all automorphisms of a finite noncommutative (NC) space. As special cases three classes of NC objects are introduced: quantum group of gauge transformations, Pontryagin dual of a quantum group, and Galois-Hopf-algebra of an algebra extension., Maysam Maysami Sadr., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

97-121

Source:

Czechoslovak Mathematical Journal | 2017 Volume:67 | Number:1

Harvested from:

CDK

Metadata only:

false