DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS

Abstract

We describe a graded extension of the usual Hecke algebra: it acts in a graded fashion on the cohomology of an arithmetic group $\unicode[STIX]{x1D6E4}$. Under favorable conditions, the cohomology is freely generated in a single degree over this graded Hecke algebra.

Keywords

• 11F75
• 11F80