The Tits–Kantor–Koecher Construction and Birepresentations of the Jordan Superpair SH(1,n)

Sergei V. Krutelevich
2004 Communications in Algebra  
We introduce the concept of bimodule over a Jordan superpair and the Tits-Kantor-Koecher construction for bimodules. Using the construction we obtain the classification of irreducible bimodules over the Jordan superpair SH(1, n). We also prove semisimplicity for a class of finite dimensional SH(1, n)-bimodules for n ≥ 3.
doi:10.1081/agb-120037211 fatcat:mwxdt66xfnethctviulktkzzki