Super-Drinfeldians and super-Yangians of Lie superalgebras of type A(n∣m)

Abstract

Explicit description of super-Drinfeldians and super-Yangians of Lie superalgebras of the type A(n∣m)(=sl(n+1∣m+1)) is given in terms of the Chevalley basis. Construction of a q analog of Cartan-Weyl generators and their permutation relations for the quantum superalgebra U q(sl(n+1∣m+1)), which is a subalgebra of the super-Drinfeldian D qη (sl(n+1∣m+1)), are also presented.