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Automorphisms of the fine grading of sl(n,C) associated with the generalized Pauli matrices
We consider the grading of by the group of
generalized Pauli matrices. The grading decomposes the Lie algebra into
one--dimensional subspaces. In the article we demonstrate that the normalizer
of grading decomposition of in is the group , where is the cyclic group of order . As an
example we consider graded by and all contractions
preserving that grading. We show that the set of 48 quadratic equations for
grading parameters splits into just two orbits of the normalizer of the grading
in
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