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Quantum groups, skein theories, operadic and diagrammatic algebra, quantum field theory

2 votes
0 answers
186 views

About the Lie algebra of polyvector fields

I would like to know if someone already did some computations of the group of Lie algebra automorphisms of the algebra of polyvector fields on $\mathbb{R}^n$ equiped with the Schouten bracket (or anot …
Sinan Yalin's user avatar
  • 1,609
8 votes
0 answers
459 views

On the cohomology of Kontsevich graph complex

Kontsevich's formality theorem asserts that a certain quasi-isomorphism of chain complexes between the graded Lie algebra of polyvector fields on $\mathbb{R}^n$ and the dg Lie algebra of polydifferent …
Sinan Yalin's user avatar
  • 1,609
10 votes
1 answer
557 views

Tannakian formalism for topological Hopf algebras

Tannaka-Krein duality allows, under the appropriate assumptions, to reconstruct a Hopf algebra from its category of modules. This method was found to be powerful for instance in the work of Etingof-Ka …
Sinan Yalin's user avatar
  • 1,609