Picture invariants and the isomorphism problem for complex semisimple Lie algebras

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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.
Latex, 11 pages, Uses packages epsfig and psfrag

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Rings and Algebras, Algebraic Geometry, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/70155

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402215
 http://arxiv.org/abs/math/0402215

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arXiv