Invariants, cohomology, and automorphic forms of higher order
arXiv:0811.1088
Abstract
A general structure theorem on higher order invariants is proven. For an arithmetic group, the structure of the corresponding Hecke module is determined. It is shown that the module does not contain any irreducible submodule. This explains the fact that L-functions of higher order forms have no Euler-product. Higher order cohomology is introduced, classical results of Borel are generalized and a higher order version of Borel's conjecture is stated.
arXiv commentSelecta Mathematica 2012. arXiv admin note: substantial text overlap with arXiv:0805.0703