Trigonometric R Matrices related to `Dilute' Birman--Wenzl--Murakami Algebra

Abstract

Explicit expressions for three series of R matrices which are related to a ``dilute'' generalisation of the Birman--Wenzl--Murakami are presented. Of those, one series is equivalent to the quantum R matrices of the D(2)n+1 generalised Toda systems whereas the remaining two series appear to be new.

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