Cubic Dirac operator for Uq(sl2)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00605642" target="_blank" >RIV/67985840:_____/25:00605642 - isvavai.cz</a>
Alternative codes found
RIV/00216208:11320/25:10491508
Result on the web
<a href="https://doi.org/10.1007/s00006-025-01372-z" target="_blank" >https://doi.org/10.1007/s00006-025-01372-z</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00006-025-01372-z" target="_blank" >10.1007/s00006-025-01372-z</a>
Alternative languages
Result language
angličtina
Original language name
Cubic Dirac operator for Uq(sl2)
Original language description
We construct the q-deformed Clifford algebra of sl2 and study its properties. This allows us to define the q-deformed noncommutative Weil algebra Wq(sl2) for Uq(sl2) and the corresponding cubic Dirac operator Dq. In the classical case this was done by Alekseev and Meinrenken in 2000. We show that the cubic Dirac operator Dq is invariant with respect to the Uq(sl2)-action and *-structures on Wq(sl2), moreover, the square of Dq is central in Wq(sl2). We compute the spectrum of the cubic element on finite-dimensional and Verma modules of Uq(sl2) and the corresponding Dirac cohomology.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Applied Clifford Algebras
ISSN
0188-7009
e-ISSN
1661-4909
Volume of the periodical
35
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
26
Pages from-to
12
UT code for WoS article
001402118100001
EID of the result in the Scopus database
2-s2.0-85218196022