Classification of marked elliptic root systems with nonreduced quotient
Abstract
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.
Fields of Study & Subjects
Advanced Algebra and Geometry
Advanced Combinatorial Mathematics
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 1
- Publication date
- 30 June 2026
- Language
- EN