Noncommutative Bialynicki-Birula Theorem
Algebraic Geometry
2020-08-31 v4 Quantum Algebra
Representation Theory
Abstract
In this short note we prove that every maximal torus action on the free algebra is conjugate to a linear action. This statement is the free algebra analogue of a classical theorem of A. Bia{\l}ynicki-Birula.
Keywords
Cite
@article{arxiv.1808.04903,
title = {Noncommutative Bialynicki-Birula Theorem},
author = {Andrey Elishev and Alexei Kanel-Belov and Farrokh Razavinia and Jie-Tai Yu and Wenchao Zhang},
journal= {arXiv preprint arXiv:1808.04903},
year = {2020}
}
Comments
9 pages