Displaying similar documents to “Twists of Hecke L-functions.”

On the structure constants of certain Hecke algebras

Helversen-Pasotto, Anna

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[For the entire collection see Zbl 0742.00067.]In the first part some general results on Hecke algebras are recalled; the structure constants corresponding to the standard basis are defined; in the following the example of the commuting algebra of the Gelfand- Graev representation of the general linear group G L ( 2 , F ) is examined; here F is a finite field of q elements; the structure constants are explicitly determined first for the standard basis and then for a new basis obtained via a Mellin-transformation....

The Yokonuma-Temperley-Lieb algebra

D. Goundaroulis, J. Juyumaya, A. Kontogeorgis, S. Lambropoulou (2014)

Banach Center Publications

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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.