{"title":"卡-莫迪四元数列代数","authors":"Ferdi, Amir Kamal Amir, Andi Muhammad Anwar","doi":"arxiv-2409.10396","DOIUrl":null,"url":null,"abstract":"This research aims to define Kac-Moody Lie algebra in Quaternion by using the\nconcept of Quaternification of Lie algebra. The results of this research\nobtained the definition of Universal Kac-Moody Quaternion Lie algebra, Standard\nKac-Moody Quaternion Lie algebra, and Reduced Kac-Moody Quaternion Lie algebra","PeriodicalId":501038,"journal":{"name":"arXiv - MATH - Representation Theory","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kac-Moody Quaternion Lie Algebra\",\"authors\":\"Ferdi, Amir Kamal Amir, Andi Muhammad Anwar\",\"doi\":\"arxiv-2409.10396\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This research aims to define Kac-Moody Lie algebra in Quaternion by using the\\nconcept of Quaternification of Lie algebra. The results of this research\\nobtained the definition of Universal Kac-Moody Quaternion Lie algebra, Standard\\nKac-Moody Quaternion Lie algebra, and Reduced Kac-Moody Quaternion Lie algebra\",\"PeriodicalId\":501038,\"journal\":{\"name\":\"arXiv - MATH - Representation Theory\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Representation Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.10396\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Representation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.10396","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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