Journal of Nonlinear Mathematical Physics

Volume 11, Issue Supplement 1, October 2004, Pages 37 - 42

On Pauli graded contractions of sl(3, C)

Authors
Miloslav HAVLICEK, Jiri PATERA, Edita PELANTOVA, Jiri TOLAR
Corresponding Author
Miloslav HAVLICEK
Available Online 1 October 2004.
DOI
https://doi.org/10.2991/jnmp.2004.11.s1.4How to use a DOI?
Abstract
We consider a special fine grading of sl(3, C), where the grading subspaces are geerated by 3 × 3 generalized Pauli matrices. This fine grading decomposes sl(3, C) into eight one­dimensional 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 × 2 matrices with entries from the cyclic group Z3 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.
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 100
Pages
37 - 42
Publication Date
2004/10
ISBN
91-974824-2-0
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.2991/jnmp.2004.11.s1.4How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - JOUR
AU  - Miloslav HAVLICEK
AU  - Jiri PATERA
AU  - Edita PELANTOVA
AU  - Jiri TOLAR
PY  - 2004
DA  - 2004/10
TI  - On Pauli graded contractions of sl(3, C)
JO  - Journal of Nonlinear Mathematical Physics
SP  - 37
EP  - 42
VL  - 11
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.s1.4
DO  - https://doi.org/10.2991/jnmp.2004.11.s1.4
ID  - HAVLICEK2004
ER  -