dg-Hecke duality and tensor products

Peter Schneider; Claus Sorensen

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arXiv · 2305.08795

dg-Hecke duality and tensor products

Peter Schneider·Claus Sorensen

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Abstract

We continue our study of the monoidal category $D(G)$. At the level of cohomology we transfer the duality functor to the derived category of Hecke dg-modules. In the process we develop a more general and streamlined approach to the anti-involution first defined by Ollivier and Schneider. We also verify that the tensor product on $D(G)$ corresponds to an operadic tensor product on the dg-side. This uses a result of Schnürer on dg-categories with a model structure.

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Peter Schneider, Claus Sorensen. 2023-05-15. dg-Hecke duality and tensor products. https://arxiv.org/abs/2305.08795

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