Some Investigations Concerning Kazhdan-Lusztig cells in Finite Coxeter groups of type A_n
Spetses.
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
The relationship between Zhedanov's algebra and the double affine Hecke algebra in the rank one case.
The Yokonuma-Temperley-Lieb algebra
We define the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of the classical Temperley-Lieb algebra. The main theorem provides necessary and sufficient conditions for the Markov trace defined on the Yokonuma-Hecke algebra to pass through to the quotient algebra, leading to a sequence of knot invariants which coincide with the Jones polynomial.