Generic and low-rank realizations of sl(3)

Kód výsledku v 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>
Výsledek na webu
<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>

Jazyk výsledku
angličtina
Název v původním jazyce
Generic and low-rank realizations of sl(3)
Popis výsledku v původním jazyce
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).
Název v anglickém jazyce
Generic and low-rank realizations of sl(3)
Popis výsledku anglicky
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).

Projekt
—
Návaznosti
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění
2025
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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