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math.QA2026
Diagrammatic technique for Vogel's universality
D. Khudoteplov, A. Sleptsov
In his 1999 preprint "Universal Lie Algebra", P. Vogel put forward a hypothesis on the existence of a universal Lie algebra. Although this hypothesis remains open, it is known that…
math.QA2025
Construction of Lie algebra weight system kernel via Vogel algebra
Dmitry Khudoteplov, Elena Lanina, Alexey Sleptsov
We develop a method of constructing a kernel of Lie algebra weight system. A main tool we use in the analysis is Vogel's algebra and the surrounding framework. As an example o…