Kashiwara–Vergne solutions degree by degree
Copyright policy )Kashiwara–Vergne solutions degree by degree
We show that solutions to the Kashiwara–Vergne problem can be extended degree by degree. This can be used to simplify the computation of a class of Drinfel’d associators, which under the Alekseev–Torossian conjecture, may comprise all associators. We also give a proof that the associated graded Lie algebra of the Kashiwara–Vergne group is isomorphic to the graded Kashiwara–Vergne Lie algebra.
- Northeastern University United States
Kashiwara-Vergne solutions, Quantum Algebra, 17B01, 17B45, 57K12, Generalized knots (virtual knots, welded knots, quandles, etc.), Lie algebras of linear algebraic groups, Algebraic Topology, Identities, free Lie (super)algebras, FOS: Mathematics, Quantum Algebra (math.QA), Algebraic Topology (math.AT), graded Kashiwara-Vergne Lie algebra, Kashiwara-Vergne equations
Kashiwara-Vergne solutions, Quantum Algebra, 17B01, 17B45, 57K12, Generalized knots (virtual knots, welded knots, quandles, etc.), Lie algebras of linear algebraic groups, Algebraic Topology, Identities, free Lie (super)algebras, FOS: Mathematics, Quantum Algebra (math.QA), Algebraic Topology (math.AT), graded Kashiwara-Vergne Lie algebra, Kashiwara-Vergne equations
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