Picture invariants and the isomorphism problem for complex semisimple Lie algebras
Rings and Algebras
2007-05-23 v1 Algebraic Geometry
Quantum Algebra
Abstract
Consider complex semisimple Lie algebras of a given dimension specified by their structure constants. We describe a finite collection of rational functions in the structure constants that form a complete set of invariants: two sets of structure constants determine isomorphic algebras if and only if each of these rational functions has the same value on the two sets. This collection is indexed by all chord diagrams with the number of chords being bounded by a function of the dimension.
Keywords
Cite
@article{arxiv.math/0402215,
title = {Picture invariants and the isomorphism problem for complex semisimple Lie algebras},
author = {Vijay Kodiyalam and K. N. Raghavan},
journal= {arXiv preprint arXiv:math/0402215},
year = {2007}
}
Comments
Latex, 11 pages, Uses packages epsfig and psfrag