Automorphisms of the Fine Granding of Sl(n,C) Associated with the Generalized Pauli Matrices
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F02%3A04073808" target="_blank" >RIV/68407700:21340/02:04073808 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Automorphisms of the Fine Granding of Sl(n,C) Associated with the Generalized Pauli Matrices
Original language description
We consider the grading of sl(n,C) by the group Pi(n) of generalized Pauli matrices. The grading decomposes the Lie algebra into n(2)-1 one-dimensional subspaces. In the article we demonstrate that the normalizer of grading decomposition of sl(n,C) in Pi(n) is the group SL(2,Z(n)), where Z(n) is the cyclic group of order n. As an example we consider sl(3,C) graded by Pi(3) and all contractions preserving that grading. We show that the set of 48 quadratic equations for grading parameters splits into justtwo orbits of the normalizer of the grading in Pi(3).
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2002
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Mathematical Physics
ISSN
0022-2488
e-ISSN
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Volume of the periodical
43
Issue of the periodical within the volume
2
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
1083-1094
UT code for WoS article
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EID of the result in the Scopus database
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