On a Class of Indefinite Kac-Moody Algebras
Kehan Wang
TL;DR
This paper introduces and analyzes a specific class of indefinite Kac-Moody algebras, expanding understanding of their properties based on hyperbolic cases.
Contribution
It defines the $N_k$ type Kac-Moody algebras and investigates their properties, contributing to the classification and understanding of indefinite Kac-Moody algebras.
Findings
Definition of $N_k$ type Kac-Moody algebras
Properties of this special class studied
Extension of hyperbolic algebra theory
Abstract
In this paper, we study a special class of indefinite Kac-Moody algebras. Based on the study of hyperbolic Kac-Moody algebras, we give the definition of type Kac-Moody algebras and study some properties of this special type Kac-Moody algebras.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Algebraic structures and combinatorial models · Geometric and Algebraic Topology