Dirac operator and its cohomology for the quantum group Uq(sl(2))

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10367254" target="_blank" >RIV/00216208:11320/17:10367254 - isvavai.cz</a>
Result on the web
<a href="http://aip.scitation.org/doi/10.1063/1.4979623" target="_blank" >http://aip.scitation.org/doi/10.1063/1.4979623</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4979623" target="_blank" >10.1063/1.4979623</a>

Result language
angličtina
Original language name
Dirac operator and its cohomology for the quantum group Uq(sl(2))
Original language description
We introduce a Dirac operator D for the quantum group U-q(sl(2)), as an element of the tensor product of U-q(sl(2)) with the Clifford algebra on two generators. We study the properties of D, including an analogue of Vogan's conjecture. We compute the cohomology of D acting on various U-q(sl(2))-modules.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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