Corpus ID: 84836946

On supercuspidal representations of $SL_n(F)$ associated with tamely ramified extensions

@article{Takase2018OnSR,
  title={On supercuspidal representations of \$SL\_n(F)\$ associated with tamely ramified extensions},
  author={Koichi Y. Takase},
  journal={arXiv: Number Theory},
  year={2018}
}
  • K. Takase
  • Published 16 May 2018
  • Mathematics
  • arXiv: Number Theory
We will give an explicit construction of irreducible suparcuspidal representations of the special linear group over a non-archimedean local field and will speculate its Langlands parameter by means of verifying the Hiraga-Ichino-Ikeda formula of the formal degree of the supercuspidal representations. 

References

SHOWING 1-2 OF 2 REFERENCES
Formal degrees and adjoint -factors
L( 12 , π1 × π0) L(1, π1, Ad)L(1, π0, Ad) if v is unramified (cf. [20]). Now let G = H×H, where H is a connected reductive algebraic group over F . For simplicity, we assume that the connected center