Center of quantum algebra Uq'(so 3)

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F11%3A00180162" target="_blank" >RIV/68407700:21340/11:00180162 - isvavai.cz</a>
Result on the web
<a href="http://link.aip.org/link/doi/10.1063/1.3579992" target="_blank" >http://link.aip.org/link/doi/10.1063/1.3579992</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.3579992" target="_blank" >10.1063/1.3579992</a>

Result language
angličtina
Original language name
Center of quantum algebra Uq'(so 3)
Original language description
We analyze the structure of the center of the quantum algebra Uq'(so 3). This structure, as expected, depends substantially on the deformation parameter q. When q is not a root of unity, there exists only one Casimir element, which is the deformation ofordinary Casimir element known from so3. The center has a structure of a ring of polynomials of one variable. When q^n = 1, there are three more Casimir elements of the form of polynomials in algebra generators. All four Casimir elements are no longer algebraically independent. We present the explicit description of the central variety, that is polynomial dependence between these four Casimir elements.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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