The homological approach applied to higher representations

R.J. Lawrence

Abstract: {It was seen elsewhere how representations of the Iwahori-Hecke algebra associated with two-row Young diagrams could be constructed using elementary topology. Such representations also arise in the context of conformal field theory, where they are associated with the spin-half representations of sl(2). In this paper, the analogue of this topological construction will be produced, giving rise to those braid group representations associated with higher representations of sl(2). The associated problem of the construction of link invariants from such representations is also discussed.

Keywords: monodromy representations, braid group, Hecke algebra, Gauss-Manin connection, conformal field theory

Length: 9 pages

Reference: Harvard preprint (1990)

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Last updated on June 11th, 2000.