5-Graded Lie Superalgebras and Jordan-Kantor Superpairs
摘要
We introduce the notions of a Kantor superpair and a Jordan-Kantor super-pair,by using which we construct 5-graded Lie superalgebras.In addition,the relationship between a Jordan-Kantor superpair(J,M)and the corresponding 5-graded Lie superal-gebra L(J,M,D)is described.We also characterize the universal central extension of the 5-graded Lie superalgebra L(J,M)with Ｄ being the inner structure superalgebra of(J,M).Finally,we obtain a realization of a class of 5-graded Lie superalgebras,termed 5-graded Lie superalgebras of type B(0,1),with the aid of Jordan-Kantor superpairs.
年，卷(期)：
2026, 33(2)
分类号：
17A40
17B60
17B70
17C50
在线出版日期：
2026年7月17日
