A note on a cluster structure of the coordinate ring of a simple algebraic group

Proceedings of the American Mathematical Society 2026 Open access

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Authors: Hironori Oya
DOI: 10.1090/proc/17551
Cited by: 0
References: 22

Abstract

We show that the coordinate ring of a simply-connected simple algebraic group G G over the complex number field coincides with the Berenstein–Fomin–Zelevinsky cluster algebra and its upper cluster algebra, at least when G G is not of type F 4 F_4 .

Fields of Study & Subjects

Advanced Topics in Algebra Advanced Algebra and Geometry Finite Group Theory Research

Publication details

Journal / source
Proceedings of the American Mathematical Society
Volume
154
Issue
5
Pages
1867–1879
Publication date
5 March 2026
Language
EN