New Lie tori from Naoi tori
Rings and Algebras
2015-07-17 v1
Abstract
We define general Lie tori which generalize original Lie tori. We show that a Naoi torus is a general Lie torus. We give examples and prove several properties of general Lie tori. We also review isotopies of Lie tori, and prove that a general Lie torus is, in fact, isotopic to an original Lie torus. Finally, we suggest a very simple way of defining a Lie torus corresponding to a locally extended affine root system R, which we call a Lie R-torus.
Keywords
Cite
@article{arxiv.1507.04455,
title = {New Lie tori from Naoi tori},
author = {Yoji Yoshii},
journal= {arXiv preprint arXiv:1507.04455},
year = {2015}
}