Distinguishing pure representations by normalized traces

Manish K. Pandey, Sudhir Pujahari, Jyoti Prakash Saha

Research output: Contribution to journalArticlepeer-review


Given two pure representations of the absolute Galois group of an ℓ-adic number field with coefficients in Q‾p (with ℓ≠p), we show that the Frobenius-semisimplifications of the associated Weil–Deligne representations are twists of each other by an integral power of a certain unramified character if they have equal normalized traces. This is an analogue of a recent result of Patankar and Rajan in the context of local Galois representations.

Original languageEnglish
Pages (from-to)217-225
Number of pages9
JournalJournal of Number Theory
StatePublished - 1 Feb 2019


  • Galois representations
  • Normalized traces
  • Pure representations

ASJC Scopus subject areas

  • Algebra and Number Theory


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