**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.*

ruthel@ma.huji.ac.il