Dilute Algebras and Solvable Lattice Models

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The definition of a dilute braid-monoid algebra is briefly reviewed. The construction of solvable vertex and interaction-round-a-face models built on representations of the dilute Temperley-Lieb and Birman-Wenzl-Murakami algebras is discussed.
8 pages, uuencoded gz-compressed PostScript, to appear in the proceedings of the satellite meeting of STATPHYS 19, `Statistical Models, Yang-Baxter Equation and Related Topics', August 8-10, 1995, Tianjin, China

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