An operadic approach to deformation quantization of compatible Poisson brackets
Vladimir Dotsenko
math.QAarXiv:math/0611154
Abstract
We construct an analogue of the Livernet--Loday operad for two compatible brackets. The Livernet--Loday operad can be used to define -products and deformation quantization for Poisson structures. We make use of our operad in the same way, introducing a definition of (operadic) deformation quantization of compatible Poisson structures.
Create a lesson
Related papers
On the Mext groups of sVecR and sVecH
Sean Sanford
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
Magma Automorphisms and Quasi-Linear Cycle Sets
Nigel P. Byott, Edgar Jasko
Unitary TQFTs, unitary disk-like n-categories, and higher Hilbert spaces
Greyson Wesley
Affine quantum Schur--Weyl duality
Qiang Fu, Jun Hu
Braided Hopf algebroids and Lie algebroids
Xiao Han