Work

Classification of marked elliptic root systems with nonreduced quotient

Year: 2026

Type: article

Abstract: Saito (Publ. RIMS 21 (1), 1985, 75–179) has introduced a class of root systems called elliptic root systems that lie in the real vector space with a metric whose signature is of type . He also classified the pair of elliptic root systems with one‐dimensional subspaces of the radical of , under the assumption that the quotient root system is reduced. Here, we classify the pairs where is nonreduced.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70598

Authors: A. Fialowski, K. Iohara, Y. Saito

Institutions: Eötvös Loránd University, Lyon 1 Université, Centre National de la Recherche Scientifique, Institut Camille Jordan, Rikkyo University

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Mathematisches Forschungsinstitut Oberwolfach, Japan Society for the Promotion of Science

Awards: Geometric study of quantum toroidal algebras, 楕円ルート系に付随する量子代数の研究