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math.RT2021★ 1 cited
Comparing Bushnell-Kutzko and Sécherre's constructions of types for and its inner forms with Yu's construction
Arnaud Mayeux, Yuki Yamamoto
Let be a non-archimedean local field, be a central simple -algebra, and be the multiplicative group of . To construct types for supercuspidal representations of $…
math.RT2020★ 6 cited
Comparison of Bushnell-Kutzko and Yu's constructions of supercuspidal representations
Arnaud Mayeux
We compare precisely and explicitly Bushnell-Kutzko and Yu's constructions of supercuspidal representations. At the end, we draw conclusions and ask a natural question about the ex…
math.RT2017
Représentations supercuspidales
Arnaud Mayeux
This text is a response to the following question: What are the methods to build supercuspidal complex representations of p-adic reductive groups and are there ties between them ?…