A note on two-row Hecke algebra representations

R.J. Lawrence

Abstract: In this note, two forms for the representations of the Iwahori-Hecke algebra associated with 2-row Young diagrams will be given. One of the forms appears naturally from the topological construction of such representations given elsewhere, while the other form comes from a specialisation of Wenzl's general construction of irreducible Hecke algebra representations. In both constructions the bases used may be naturally indexed by Young tableaux. The combinatorial structure of the transformation between these bases is the subject of this note, involving q-numbers.

Length: 6 pages

Reference: Harvard preprint (1991)

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Last updated on June 11th, 2000.