线性紧单刚性超代数的分类
Classification of linearly compact simple rigid superalgebras
摘要:
反交换(anti-commutative)交换)刚性超代数是一个自然的推广的概念的李(resp。Jordan)superalgebra.直觉刚性意味着乘积在结构群下的小变形产生同构代数。在本文中,我们分类所有线性紧单反交换(分别)。交换)刚性超代数。超越谎言(Beyond Lie)Jordan)超代数的完整列表包括四个系列和二十二个例外超代数(分别为。十个例外超代数)。
英文摘要:
The notion of an anti-commutative (resp. commutative) rigid superalgebra is a natural generalisation of the notion of a Lie (resp. Jordan) superalgebra. Intuitively rigidity means that small deformations of the product under the structural group produce an isomorphic algebra. In this paper we classify all linearly compact simple anti-commutative (resp. commutative) rigid superalgebras. Beyond Lie (resp. Jordan) superalgebras the complete list includes four series and twenty two exceptional superalgebras (resp. ten exceptional superalgebras).
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。