On Pauli graded contractions of sl(3, C)

DOI

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - JOUR
AU  - Miloslav Havlicek
AU  - Jiri Patera
AU  - Edita Pelantova
AU  - Jiri Tolar
PY  - 2004
DA  - 2004/10/01
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  - 10.2991/jnmp.2004.11.s1.4
ID  - Havlicek2004
ER  -