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A Note on Depth Preservation


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1 Department of Mathematics, Indian Institute for Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
     

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We show that for a wildly ramified torus, depth is not preserved in general under local Langlands correspondence for tori.
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  • Anne-Marie Aubert, Sergio Mendes, Roger Plymen and Maarten Solleveld, On L-packets and depth for SL2(K) and its inner form, Int. J. Number Theory, 13 no. 10, (2017) 2545–2568.
  • Anne-Marie Aubert, Paul Baum, Roger Plymen and Maarten Solleveld, Depth and the local Langlands correspondence, Arbeitstagung Bonn 2013, (2016) 17–41.
  • Robert Langlands, Representations of abelian algebraic groups, Pacific Journal of Mathematics, 181 no. 3, (1997) 231–250.
  • Manish Mishra, Langlands parameters associated to special maximal parahoric spherical representations, Proceedings of the American Mathematical Society, 143 no. 5, (2015) 1933–1941.
  • Allen Moy and Gopal Prasad, Jacquet functors and unrefined minimal K-types, Comment. Math. Helv., 71 no. 1, (1996) 98–121.
  • Jean-Pierre Serre, Local fields, Graduate Texts in Mathematics, Springer-Verlag, New York-Berlin, vol. 67, (1979). Translated from the French by Marvin Jay Greenberg.
  • Jiu-Kang Yu, Smooth models associated to concave functions in Bruhat-Tits theory, preprint.
  • Jiu-Kang Yu, On the local Langlands correspondence for tori, Ottawa lectures on admissible representations of reductive p-adic groups (2009) 177–183.

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  • A Note on Depth Preservation

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Authors

Manish Mishra
Department of Mathematics, Indian Institute for Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India
Basudev Pattanayak
Department of Mathematics, Indian Institute for Science Education and Research, Dr. Homi Bhabha Road, Pashan, Pune 411 008, India

Abstract


We show that for a wildly ramified torus, depth is not preserved in general under local Langlands correspondence for tori.

References