GRADED CONTRACTIONS OF THE AFFINE LIE-ALGEBRA A1(1), ITS REPRESENTATIONS AND TENSOR-PRODUCTS, AND AN APPLICATION TO THE BRANCHING RULE A1(1)SUPERSET-OF-A(1)1

We describe all contractions of the affine Kac-Moody algebra A1(1) whi ch preserve various gradings by the cyclic groups Z2 and Z3 as well as a grading by Z2 X Z2, together with the contractions of simultaneousl y graded representations of A1(1) and their tensor products. An applic ation is given to the branching rules for A1(1) superset-of A1(1) for a number of distinct embeddings, each associated with a particular gra ding.