On Hopf algebroid structure of kappa-deformed Heisenberg algebra

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F17%3A50014121" target="_blank" >RIV/62690094:18470/17:50014121 - isvavai.cz</a>

Výsledek na webu

<a href="https://link.springer.com/article/10.1134%2FS1063778817030188" target="_blank" >https://link.springer.com/article/10.1134%2FS1063778817030188</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1134/S1063778817030188" target="_blank" >10.1134/S1063778817030188</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On Hopf algebroid structure of kappa-deformed Heisenberg algebra

Popis výsledku v původním jazyce

The (4 + 4)-dimensional kappa-deformed quantum phase space as well as its (10 + 10)-dimensional covariant extension by the Lorentz sector can be described as Heisenberg doubles: the (10 + 10)-dimensional quantum phase space is the double of D = 4 kappa-deformed Poincar, Hopf algebra H and the standard (4 + 4)-dimensional space is its subalgebra generated by kappa-Minkowski coordinates and corresponding commuting momenta . Every Heisenberg double appears as the total algebra of a Hopf algebroid over a base algebra which is in our case the coordinate sector. We exhibit the details of this structure, namely the corresponding right bialgebroid and the antipode map. We rely on algebraic methods of calculation in Majid-Ruegg bicrossproduct basis. The target map is derived from a formula by J.-H. Lu. The coproduct takes values in the bimodule tensor product over a base, what is expressed as the presence of coproduct gauge freedom.

Název v anglickém jazyce

On Hopf algebroid structure of kappa-deformed Heisenberg algebra

Popis výsledku anglicky

The (4 + 4)-dimensional kappa-deformed quantum phase space as well as its (10 + 10)-dimensional covariant extension by the Lorentz sector can be described as Heisenberg doubles: the (10 + 10)-dimensional quantum phase space is the double of D = 4 kappa-deformed Poincar, Hopf algebra H and the standard (4 + 4)-dimensional space is its subalgebra generated by kappa-Minkowski coordinates and corresponding commuting momenta . Every Heisenberg double appears as the total algebra of a Hopf algebroid over a base algebra which is in our case the coordinate sector. We exhibit the details of this structure, namely the corresponding right bialgebroid and the antipode map. We rely on algebraic methods of calculation in Majid-Ruegg bicrossproduct basis. The target map is derived from a formula by J.-H. Lu. The coproduct takes values in the bimodule tensor product over a base, what is expressed as the presence of coproduct gauge freedom.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2017

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

PHYSICS OF ATOMIC NUCLEI

ISSN

1063-7788

e-ISSN

—

Svazek periodika

80

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

10

Strana od-do

576-585

Kód UT WoS článku

000404148500024

EID výsledku v databázi Scopus

2-s2.0-85021289999