Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2507.07958 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Let q be a finite-dimensional Lie algebra and $θ$ an automorphism of q of order m. We extend $θ$ to an automorphism of the loop algebra of q and consider the fixed-point subalgebra $q[t,t^{-1}]^θ$. Using a splitting of $q[t,t^{-1}]^θ$, we construct $θ$-twisted Poisson-commutative versions of the Feigin--Frenkel centre and the universal Gaudin subalgebra introduced by Ilin and Rybnikov in 2021.