Realizing Enveloping Algebras via Varieties of Modules
Ming Ding, Jie Xiao, Fan Xu
Abstract
By using the Ringel-Hall algebra approach, we investigate the structure of the Lie algebra L(Λ) generated by indecomposable constructible sets in the varieties of modules for any finite dimensional C-algebra Λ. We obtain a geometric realization of the universal enveloping algebra R(Λ) of L(Λ). This generalizes the main result of Riedtmann in R. We also obtain Green's theorem in G in a geometric form for any finite dimensional C-algebra Λ and use it to give the comultiplication formula in R(Λ).
Create a lesson
Related papers
An Ito-Michler type theorem and the prime class graph of weakly integral braided fusion categories
Sebastian Burciu
On the Haagerup Vertex Operator Algebras
Chongying Dong, Xiangyu Jiao, Feng Xu
Reflective algebras over factorizable Hopf algebras
Rei Sugitani
Galois-modular obstructions to the categorification of near-group fusion rings
Víctor Blasco
The Askey-Wilson Function is the Laplace Transform of a Positive Measure
Aaron Agulnick
Associated Varieties of Finite-Group Orbifolds
Andrew Riesen