On Hopf algebroid structure of kappa-deformed Heisenberg algebra
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On Hopf algebroid structure of kappa-deformed Heisenberg algebra
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
PHYSICS OF ATOMIC NUCLEI
ISSN
1063-7788
e-ISSN
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Volume of the periodical
80
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
576-585
UT code for WoS article
000404148500024
EID of the result in the Scopus database
2-s2.0-85021289999