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math.RT2025
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…
math.RT2023
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…