  A contragredient Lie superalgebra is a superalgebra defined by a Cartan
matrix. In general, a contragredient Lie superalgebra is not finite
dimensional, however it has a natural Z-grading by finite dimensional
components. A contragredient Lie superalgebra has finite growth if the
dimensions of these graded components depend polynomially on the degree. We
discuss the classification of finite-growth contragredient Lie superalgebras.
(Joint work with Vera Serganova)
