6
votes
1answer
207 views

Does the vanishing of the Poisson bracket on $S(\mathfrak{g})^{\mathfrak{g}}$ inspire the disover of Duflo's isomorphism theorem?

For any finite dimensional Lie algebra $\mathfrak{g}$, we know that the universal enveloping algebra $U(\mathfrak{g})$ is a deformation of the symmetric algebra $S(\mathfrak{g})$. In fact let's define ...
4
votes
2answers
574 views

About Kodaira's book on deformations

I happened to read the following sentence in the blog by the physicist Jacques Distler: "What makes Kodaira’s Complex Manifolds and Deformation of Complex Structures such a delight to read is that ...
7
votes
0answers
619 views

Innovations in deformation theory

I've been trying to get into deformation theory lately, and I became thirsty for a bit of context. Has Deformation Theory seen a lot of development since its inception? If I read Michael Artin's ...