Abstract
For a connected
reductive group G defined over a non-archimedean local field F,
we consider the Bernstein blocks in the category of smooth representations
of
Funding statement: The second named author was partially supported by SERB MATRICS and SERB ERCA grants.
Acknowledgements
It is a pleasure for the authors to thank the following. Maarten Solleveld clarified for us the definition of the twisted extended quotient and pointed out an error in a previous draft. Anne-Marie Aubert pointed out that the isomorphism of Hecke algebras in Remark 1.2 is false in general for tame Bernstein blocks. Adèle Bourgeois pointed out a typographical error in Definition 5.2. An anonymous referee provided comments that helped us to improve the exposition of this work.
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