Abstract
We determine the representations of the Yokonuma–Temperley–Lieb algebra, which is defined as a quotient of the Yokonuma–Hecke algebra by generalising the construction of the classical Temperley–Lieb algebra. We then deduce the dimension of this algebra, and produce an explicit basis for it.
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Presented by Michel Van den Bergh.
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Chlouveraki, M., Pouchin, G. Determination of the Representations and a Basis for the Yokonuma–Temperley–Lieb Algebra. Algebr Represent Theor 18, 421–447 (2015). https://doi.org/10.1007/s10468-014-9501-z
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DOI: https://doi.org/10.1007/s10468-014-9501-z
Keywords
- Temperley-Lieb algebra
- Yokonuma-Temperley-Lieb algebra
- Yokonuma-Hecke algebra
- Littlewood-Richardson coefficients
- Littlewood-Richardson rule
- Catalan numbers