Displaying similar documents to “The Yokonuma-Temperley-Lieb algebra”

On the structure constants of certain Hecke algebras

Helversen-Pasotto, Anna

Similarity:

[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....

Explicit Hecke series for symplectic group of genus 4

Kirill Vankov (2011)

Journal de Théorie des Nombres de Bordeaux

Similarity:

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...