General Hecke Algebras and Hecke Modules

This chapter describes the basic functionality for modules over Hecke algebras, including decompositions, degeneracy maps and so on. For specific examples of Hecke algebras that use this functionality see Modular Symbols and Modular Forms.

• Hecke modules
• Ambient Hecke modules
• Submodules of Hecke modules
• Elements of Hecke modules
• Hom spaces between Hecke modules
• Morphisms of Hecke modules
• Degeneracy maps
• Hecke algebras
• Hecke operators