• 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}
}
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 25 REFERENCES

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 cohomology

The Atiyah class of a dg-vector bundle

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],

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 the

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 Lie

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,

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 and

Supergroupoids, double structures, and equivariant cohomology

Q-groupoids and Q-algebroids are, respectively, supergroupoids and superalgebroids that are equipped with compatible homological vector fields. These new objects are closely related to the double