Some irreducible representations of the braid group B_n of dimension greater than n

Abstract

For any n>3, we give a family of finite dimensional irreducible representations of the braid group B_n. Moreover, we give a subfamily parametrized by 0<m<n of dimension the combinatoric number (n,m). The representation obtained in the case m=1 is equivalent to the Standard representation.

arXiv comment6 pages, revised version to appear in J. of Knot Theory and its Ramifications, Theorem 2.3 corrected