Contragredient Lie superalgebras of finite growth

The main goal of this dissertation is to classify and describe all complex contragredient Lie superalgebras, g(A,T) = + g(i) with i is an element of Z which satisfy the following conditions: (a) The Cartan matrix A is symmetrizable, i.e., A = DB where D is an invertible diagonal matrix and B is symmetric; (b) dim g(i) grows no faster than some polynomial in i. (Auth.)