Classification of marked elliptic root systems with non-reduced affine quotient
Representation Theory
2023-05-16 v2 Rings and Algebras
Abstract
The class of root systems, called elliptic root systems, were introduced in 1985 by K. Saito, for his studies on a normal surface singularity which contains a regular elliptic curve in its minimal resolution. He also classified such root systems when they admit a reduced affine quotient, as root system. In this note, we provide the classification of elliptic root systems that admit a non-reduced affine quotient, thus complete the classification of such root systems.
Keywords
Cite
@article{arxiv.2304.03976,
title = {Classification of marked elliptic root systems with non-reduced affine quotient},
author = {A. Fialowski and K. Iohara and Y. Saito},
journal= {arXiv preprint arXiv:2304.03976},
year = {2023}
}
Comments
This is a short annoucement. A detailed (long) version is in preparation