The local Langlands conjecture for Sp(4)

preprint2010arXivOpen access

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 $Sp(4)$ .

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The local Langlands conjecture for Sp(4)

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