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Kac-Moody Quaternion Lie Algebra

Representation Theory 2024-10-02 v1

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

Keywords

Cite

@article{arxiv.2409.10396,
  title  = {Kac-Moody Quaternion Lie Algebra},
  author = {Ferdi and Amir Kamal Amir and Andi Muhammad Anwar},
  journal= {arXiv preprint arXiv:2409.10396},
  year   = {2024}
}

Comments

32 pages

R2 v1 2026-06-28T18:46:22.291Z