Mad Subalgebras of Rings of Differential Operators on Curves
Yuri Berest, George Wilson
Abstract
We study the maximal abelian ad-nilpotent (mad) subalgebras of the domains D Morita equivalent to the first Weyl algebra. We give a complete description both of the individual mad subalgebras and of the space of all such. A surprising consequence is that this last space is independent of D. Our results generalize some classic theorems of Dixmier about the Weyl algebra.
Create a lesson
Related papers
Algebra objects in direct limit completions of compact Lie group duals and the classification of c=1 vertex operator algebras
Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti
Exact Factorizations of Rank-One Pointed Hopf Algebras in Positive Characteristic, I
Rongchuan Xiong
A note on the center of the queer super Yangian Y(q1)
Hao Chang, Hongmei Hu
Poisson bialgebras by deformations-to-quasiclassical limits
Siyuan Chen, Chengming Bai
Bicrossed products of generalized Taft algebras and Radford algebras
Rongchuan Xiong
The \(Vn\) Invariants as Colored Links--Gould Invariants:A Root--Center Approach
Jiuhe Liu