A new approach to the representation theory of the symmetric groups. IV. ${\mathbb{Z}}_2$-graded groups and algebras

A. M. Vershik, A. N. Sergeev

We start with definitions of the general notions of the theory of ${\mathbb{Z}}_2$-graded algebras. Then we consider theory of inductive families of ${\mathbb{Z}}_2$-graded semisimple fini…