Mathematics – Rings and Algebras
Scientific paper
2004-02-13
Mathematics
Rings and Algebras
Latex, 11 pages, Uses packages epsfig and psfrag
Scientific paper
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.
Kodiyalam Vijay
Raghavan K. N.
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