Classification of marked elliptic root systems with nonreduced quotient

2026/06/30 by A. Fialowski, K. Iohara, Y. Saito
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Linguistics #Mathematics #Philosophy #Pure mathematics #Quotient #Root (linguistics)

paper · open access · doi:10.1112/jlms.70598

published in Journal of the London Mathematical Society 114(1) (Wiley)

openalex created_date 2024/08/08 · openalex publication_date 2026/06/30 · openalex updated_date 2026/08/06

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.

Citations

• Discrete Groups Generated by Reflections

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