The fine gradings of sl(3,C) and their symmetries
M. Havlicek, J. Patera, E. Pelantova, J. Tolar
TL;DR
This paper classifies the normalizers of maximal Abelian subgroups of diagonalizable automorphisms in sl(3,C) and explores their relation to symmetries in graded contractions of the algebra.
Contribution
It provides a complete description of the normalizers of non-conjugate maximal Abelian subgroups in sl(3,C) and links these to symmetries of related algebraic equations.
Findings
Normalizers of all non-conjugate maximal Abelian subgroups are explicitly described.
The relation between these normalizers and symmetries of graded contraction equations is established.
The results enhance understanding of the structure and symmetries of sl(3,C).
Abstract
We describe the normalizers for all non-conjugate maximal Abelian subgroups of diagonalizable automorphisms of sl(3,C) and show their relation to the symmetries of equations related to the graded contraction.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Algebra and Geometry