Corpus ID: 237485495

On certain supercuspidal representations of $SL_n(F)$ associated with tamely ramified extensions: the formal degree conjecture and the root number conjecture

@inproceedings{Takase2021OnCS,
  title={On certain supercuspidal representations of \$SL\_n(F)\$ associated with tamely ramified extensions: the formal degree conjecture and the root number conjecture},
  author={Koichi Y. Takase},
  year={2021}
}
  • K. Takase
  • Published 10 September 2021
  • Mathematics
1.1 Let F/Qp be a finite extension with p 6= 2 whose integer ring OF has unique maximal ideal pF wich is generated by ̟F . The residue class field F = OF /pF is a finite field of q-elements. The Weil group of F is denoted by WF which is a subgroup of the absolute Galois group Gal(F/F ) where F is a fixed algebraic closure of F in which we will take the algebraic extensions of F . Let G be a connected semi-simple linear algebraic group defined over F . For the sake of simplicity, we will assume… Expand

References

SHOWING 1-10 OF 11 REFERENCES
Arithmetic invariants of discrete Langlands parameters
Let G be a reductive algebraic group over the local field k. The local Langlands conjecture predicts that the irreducible complex representations π of the locally compact group G(k) can beExpand
Construction of tame supercuspidal representations
The notion of depth is defined by Moy-Prasad [MP2]. The notion of a generic character will be defined in §9. When G = GLn or G is the multiplicative group of a central division algebra of dimension nExpand
Some arithmetical results on semi-simple lie algebras
© Publications mathématiques de l’I.H.É.S., 1966, tous droits réservés. L’accès aux archives de la revue « Publications mathématiques de l’I.H.É.S. » (http://Expand
On the local Langlands correspondence for tori
Regular irreducible representations of classicalgroups over finite quotient rings (Pacific
  • J. Math
  • 2021
Cohomology of Weil groupof a p-adic field
  • J.of Number THeory
  • 2013
Formal degree and adjoint γ-factor
  • J.Amer.Math.Soc
  • 2008
Number theoretic
  • Automorphic Forms, Representations, and L-functions, Part 2 (Proc. Symp. Pure Math
  • 1979
...
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