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- W2065751231 abstract "A 3-graph is a connected cubic graph such that each vertex is equipped with a cyclic order of the edges incident with it. A weight system is a function f on the collection of 3-graphs which is antisymmetric: f(H)=−f(G) if H arises from G by reversing the orientation at one of its vertices, and satisfies the IHX-equation: Key instances of weight systems are the functions φg obtained from a metric Lie algebra g by taking the structure tensor c of g with respect to some orthonormal basis, decorating each vertex of the 3-graph by c, and contracting along the edges. We give equations on values of any complex-valued weight system that characterize it as complex Lie algebra weight system. It also follows that if f=φg for some complex metric Lie algebra g, then f=φg′ for some unique complex reductive metric Lie algebra g′. Basic tool throughout is geometric invariant theory." @default.
- W2065751231 created "2016-06-24" @default.
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- W2065751231 date "2015-10-01" @default.
- W2065751231 modified "2023-10-18" @default.
- W2065751231 title "On Lie algebra weight systems for 3-graphs" @default.
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- W2065751231 doi "https://doi.org/10.1016/j.jpaa.2015.02.032" @default.
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