  Finite dimensional modular Lie superalgebras over algebraically closed fields
with indecomposable Cartan matrices are classified under some technical, most
probably inessential, hypotheses. If the Cartan matrix is invertible, the
corresponding Lie superalgebra is simple otherwise the quotient of the derived
Lie superalgebra modulo center is simple (if its rank is greater than 1).
Eleven new exceptional simple modular Lie superalgebras are discovered. Several
features of classic notions, or notions themselves, are clarified or
introduced, e.g., Cartan matrix, several versions of restrictedness in
characteristic 2, Dynkin diagram, Chevalley generators, and even the notion of
Lie superalgebra if the characteristic is equal to 2. Interesting phenomena in
characteristic 2: (1) all simple Lie superalgebras with Cartan matrix are
obtained from simple Lie algebras with Cartan matrix by declaring several (any)
of its Chevalley generators odd; (2) there exist simple Lie superalgebras whose
even parts are solvable. The Lie superalgebras of fixed points of automorphisms
corresponding to the symmetries of Dynkin diagrams are also listed and their
simple subquotients described.
