4 papers
The Factorizable Feigin-Frenkel center
Luca Casarin, Andrea Maffei
We prove a factorizable version of the Feigin-Frenkel theorem on the center of the completed enveloping algebra of the affine Kac-Moody algebra attached to a simple Lie algebra at…
Topological sheaves and spaces of distributions in the global case
Luca Casarin, Andrea Maffei
We extend the theory of fields/distributions developed the paper "A Feigin-Frenkel theorem with n singularities" to a general base scheme. In order to do so we introduce suitable n…
A note on the bundle underlying Opers
Luca Casarin
In this note we write down a proof of the following well known fact, in order to make the literature more transparent. Let be a simple Lie algebra, then for any smoo…
A Feigin-Frenkel theorem with n singularities
Luca Casarin
For a simple Lie algebra g we consider an analogue of the affine algebra ^gk with n singularities, defined starting from the ring of functions on the n-pointed disk. We study the c…