{"title":"怪物类型 II 的斜轴代数方程","authors":"Michael Turner","doi":"10.1016/j.jalgebra.2024.09.029","DOIUrl":null,"url":null,"abstract":"<div><div>In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet <span><math><msup><mrow><mi>X</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>)</mo></math></span>. We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.</div></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Skew axial algebras of Monster type II\",\"authors\":\"Michael Turner\",\"doi\":\"10.1016/j.jalgebra.2024.09.029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet <span><math><msup><mrow><mi>X</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>)</mo></math></span>. We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.</div></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869324005349\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021869324005349","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet . We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.
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