Generic and low-rank realizations of sl(3)
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F25%3A00386868" target="_blank" >RIV/68407700:21340/25:00386868 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1742-6596/3152/1/012013" target="_blank" >https://doi.org/10.1088/1742-6596/3152/1/012013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1742-6596/3152/1/012013" target="_blank" >10.1088/1742-6596/3152/1/012013</a>
Alternative languages
Result language
angličtina
Original language name
Generic and low-rank realizations of sl(3)
Original language description
We compute the generic realization of the Lie algebra sl(3) over both the real and complex fields simultaneously, and present explicit realizations of rank two and rank three. The generic realization is emphasized because other realizations of sl(3) can be obtained as its projections. Realizations in spaces of two and three variables are constructed and proposed for use in subsequent investigations aimed at identifying invariant Newton-type systems. Finally, we construct the realization that corresponds to the lowest-dimensional matrix representation of sl(3).
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
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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
Article name in the collection
Journal of Physics: Conference Series
ISBN
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ISSN
1742-6588
e-ISSN
1742-6596
Number of pages
4
Pages from-to
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Publisher name
IOP Publishing Ltd
Place of publication
Bristol
Event location
Prague
Event date
Jul 7, 2025
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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