On Pauli graded contractions of sl(3, C)

Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F04%3A00152779" target="_blank" >RIV/68407700:21340/04:00152779 - isvavai.cz</a>
Výsledek na webu
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DOI - Digital Object Identifier
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Jazyk výsledku
angličtina
Název v původním jazyce
On Pauli graded contractions of sl(3, C)
Popis výsledku v původním jazyce
We consider a special fine grading of sl (3, C), where the grading subspaces are generated by 3 x 3 generalized Pauli matrices. This fine grading decomposes sl(3, C) into eight one-dimensional subspaces. Our aim is to find all contractions of sl (3, C) which preserve this grading. We have found that the symmetry group of this grading is isomorphic to the group of 2 x 2 matrices with entries from the cyclic group Z(3) and determinant +/-1 (mod 3). It is used to simplify the set of the associated nonlinear contraction equations as well as to identify its 186 classes of equivalent solutions.
Název v anglickém jazyce
On Pauli graded contractions of sl(3, C)
Popis výsledku anglicky
We consider a special fine grading of sl (3, C), where the grading subspaces are generated by 3 x 3 generalized Pauli matrices. This fine grading decomposes sl(3, C) into eight one-dimensional subspaces. Our aim is to find all contractions of sl (3, C) which preserve this grading. We have found that the symmetry group of this grading is isomorphic to the group of 2 x 2 matrices with entries from the cyclic group Z(3) and determinant +/-1 (mod 3). It is used to simplify the set of the associated nonlinear contraction equations as well as to identify its 186 classes of equivalent solutions.

Druh
J<sub>x</sub> - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
CEP obor
BA - Obecná matematika
OECD FORD obor
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Rok uplatnění
2004
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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