Kac-Moody Quaternion Lie Algebra
Ferdi, Amir Kamal Amir, Andi Muhammad Anwar
TL;DR
This paper introduces the concept of Kac-Moody Lie algebras within the quaternionic framework, defining universal, standard, and reduced types through quaternification of Lie algebras.
Contribution
It extends Kac-Moody Lie algebra theory to quaternions, providing new definitions and structures in this mathematical setting.
Findings
Defined Universal Kac-Moody Quaternion Lie algebra
Established Standard Kac-Moody Quaternion Lie algebra
Formulated Reduced Kac-Moody Quaternion Lie algebra
Abstract
This research aims to define Kac-Moody Lie algebra in Quaternion by using the concept of Quaternification of Lie algebra. The results of this research obtained the definition of Universal Kac-Moody Quaternion Lie algebra, Standard Kac-Moody Quaternion Lie algebra, and Reduced Kac-Moody Quaternion Lie algebra
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic and Geometric Analysis · Advanced Mathematical Theories and Applications