COMPLETE-SETS OF REPRESENTATIONS OF CLASSICAL LIE-SUPERALGEBRAS

Descriptions of the complete sets of irreducible highest-weight module s over complex classical simple Lie superalgebras are recorded. It is further shown that the finite-dimensional irreducible modules over a ( not necessarily classical.simple) finite-dimensional complex Lie super algebra form a complete set if and only if the even part of the Lie su peralgebra is reductive and the universal enveloping superalgebra is s emiprime.