N ov 1 99 9 Comments on New representations of the Hecke algebra and algebraic Bethe
نویسنده
چکیده
Comments on New representations of the Hecke algebra and algebraic Bethe Ansatz for an integrable generalized spin ladder, Abstract The authors of cond-mat/9911072 claim to introduce " new representations of the Hecke algebra. " These representations are shown to be the XXC models introduced two years ago in solv-int/9712008, and repeatedly studied and referred to in subsequent papers. They are in fact representations of the Temperley-Lieb algebra. Several other remarks are made and mistakes are pointed out. 1) The authors of [1] claim to have recently constructed a " novel class of representations of the Hecke algebra. " It is shown here that these representations were already known. They were discovered two years ago and named XXC models [2]. Start from the matrixŘ(x) defined by (2) and (4) in [1]:
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