Tits-Kantor-Koecher superalgebras of Jordan superpairs covered by grids

摘要

In this paper. we describe the Tits-Kantor-Koecher superalgebras associated to Jordan superpairs covered by grids, extending results from Neher (Neher, E. (1996). Lie algebras graded by 3-graded root systems and Jordan pairs covered by a grid. Amer. J. Math. 118; 439-491) to the supercase. These Lie superalgebras together with their central coverings are precisely the Lie superalgebras graded by a 3-graded root system. References: 48