Forum of Mathematics, Pi (Jan 2019)
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.
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