Locally extended affine root systems
Y. Yoshii
TL;DR
This paper introduces a new class of root systems that generalize both locally finite irreducible and extended affine root systems, providing a comprehensive classification of these systems.
Contribution
It defines and classifies a novel type of root systems called locally extended affine root systems, expanding the understanding of root system structures.
Findings
Classification of locally extended affine root systems.
Unified framework for locally finite and extended affine root systems.
Foundation for further algebraic and geometric studies.
Abstract
We consider a natural generalization of both locally finite irreducible root systems and extended affine root systems defined by Saito. We classify the systems.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · semigroups and automata theory