QUASI-DEFINITE PRIMITIVE AXIAL ALGEBRAS OF JORDAN TYPE HALF

被引：0
|
作者：
Gorshkov, I. B. [1 ]
Gubarev, V. Yu [1 ]
机构：
[1] Sobolev Inst Math, Pr Koptyuga 4, Novosibirsk 630090, Russia
来源：
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2023年 / 20卷 / 02期
关键词：
axial algebra of Jordan type; Frobenius form; semisimplicity;
D O I：
10.33048/semi.2023.20.050
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Axial algebras are commutative nonassociative algebras generated by a finite set of primitive idempotents whose action on an algebra is semisimple, and the fusion laws on the products between eigenvectors for these idempotents are fulfilled. We find the sufficient conditions in terms of the Frobenius form and the properties of idempotents under which an axial algebra of Jordan type half is unital.
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页码：833 / 846
页数：14
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