Corpus ID: 237504505

Keller admissible triples and Duflo theorem

@inproceedings{Liao2021KellerAT,
  title={Keller admissible triples and Duflo theorem},
  author={Hsuan-Yi Liao and Seok-Kyun Seol},
  year={2021}
}
  • Hsuan-Yi Liao, Seok-Kyun Seol
  • Published 14 September 2021
  • Mathematics, Physics
This paper is devoted to the study of Keller admissible triples. We prove that a Keller admissible triple induces an isomorphism of Gerstenhaber algebras between Hochschild cohomologies of the direct-sum type for dg algebras. As an application, we give a new concrete proof of the Kontsevich–Duflo theorem for finite-dimensional Lie algebras. 

References

SHOWING 1-10 OF 29 REFERENCES
Isomorphisme de Duflo et la cohomologie tangentielle
In the present note we show that the Duflo isomorphism extends to an isomorphism of associative algebras of tangential cohomologies. This result confirms the B.Shoikhet's conjecture.
Advances in Representation Theory of Algebras
We propose an approach to Geiss-Leclerc-Schroer's conjecture on the cluster algebra structure on the coordinate ring of a unipotent subgroup and the dual canonical base. It is based on singularExpand
Hochschild (co)homology of Koszul dual pairs
In this article we prove that the Tamarkin-Tsygan calculus of an Adams connected augmented dg algebra and of its Koszul dual are dual to each other. This uses the fact that the Hochschild cohomologyExpand
The Atiyah class of a dg-vector bundle
Abstract We introduce the notions of Atiyah class and Todd class of a differential graded vector bundle with respect to a differential graded Lie algebroid. We prove that the space of vector fields XExpand
Deriving DG categories
— We investigate the (unbounded) derived category of a differential Z-graded category (=DG category). As a first application, we deduce a "triangulated analogue" (4.3) of a theorem of Freyd's [5],Expand
Deformation Quantization of Poisson Manifolds
I prove that every finite-dimensional Poisson manifold X admits a canonical deformation quantization. Informally, it means that the set of equivalence classes of associative algebras close to theExpand
On the Duflo Formula for L ∞ -algebras and Q-manifolds
We prove a direct analogue of the classical Duflo formula in the case of L∞algebras. We conjecture an analogous formula in the case of an arbitrary Q-manifold. When G is a compact connected LieExpand
Calabi-Yau algebras and superpotentials
We prove that complete $$d$$d-Calabi-Yau algebras in the sense of Ginzburg are derived from superpotentials.
Lectures on Duflo isomorphisms in Lie algebra and complex geometry
Duflo isomorphism first appeared in Lie theory and representation theory. It is an isomorphism between invariant polynomials of a Lie algebra and the center of its universal enveloping algebra,Expand
From topological field theory to deformation quantization and reduction
This note describes the functional-integral quantization of two-dimensional topological field theories together with applications to problems in deformation quantization of Poisson manifolds andExpand
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