The local Langlands conjecture for Sp(4)

Wee Teck Gan; Shuichiro Takeda

The local Langlands conjecture for Sp(4)

Number Theory 2010-06-18 v3 Representation Theory

Authors: Wee Teck Gan , Shuichiro Takeda

Abstract

We show that the local Langlands conjecture for $Sp(2n)$ follows from that for $GSp(2n)$ . In particular, we prove the local Langlands conjecture for $Sp(4)$ , based on our previous work on the local Langlands conjecture for $GSp(4)$ . We also determine the possible sizes of $L$ -packets for $Sp(4)$ .

Keywords

langlands correspondence

Cite

@article{arxiv.0805.2731,
  title  = {The local Langlands conjecture for Sp(4)},
  author = {Wee Teck Gan and Shuichiro Takeda},
  journal= {arXiv preprint arXiv:0805.2731},
  year   = {2010}
}

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