GRADED SOLUTIONS OF THE YANG-BAXTER RELATION AND LINK POLYNOMIALS

From a family of graded solvable models the authors derive representations of the braid group associated with the Lie superalgebra gl(M mod N) and give explicitly a general form of the Markov traces on the representations. The braid operators thus obtained satisfy the Hecke algebra. The authors construct composite solvable models and obtain link polynomials from the braid operators for the composite models.