Displaying similar documents to “Products of an arbitrary number of Hecke eigenforms”

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.

Explicit Hecke series for symplectic group of genus 4

Kirill Vankov (2011)

Journal de Théorie des Nombres de Bordeaux

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Shimura conjectured the rationality of the generating series for Hecke operators for the symplectic group of genus n . This conjecture was proved by Andrianov for arbitrary genus n , but the explicit expression was out of reach for genus higher than 3. For genus n = 4 , we explicitly compute the rational fraction in this conjecture. Using formulas for images of double cosets under the Satake spherical map, we first compute the sum of the generating series, which is a rational fraction with...