HECKE ALGEBRAS, GENERATING SERIES AND APPLICATIONS
HECKE ALGEBRAS, GENERATING SERIES AND APPLICATIONS
The main result in presented work consists of explicit computation of the generating power series of Hecke operators in local Hecke algebra for the symplectic groups of genus 3 and 4. The computation algorithm is based on the Satake isomorphism, which allows to carry out all operations in the algebra …