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Theta correspondence and the Prasad conjecture for SL(2)

Hengfei Lu
2018 Pacific Journal of Mathematics  

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2018 pre-print arXiv:1802.01941v1 fatcat:7swpqlh4kffx7afacewmxyhmcq

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2018 accepted
arXiv:1802.01941v2 fatcat:7zqs3wjmtjdvxo3p6rttldtvjm
We use relations between the base change representations and theta lifts, to give a new proof to the local period problems of SL(2) over a nonarchimedean quadratic field extension E/F. Then we will verify the Prasad conjecture for SL(2). With a similar strategy, we obtain a certain result for the Prasad conjecture for Sp(4).
doi:10.2140/pjm.2018.295.477 fatcat:hcy3fwk4f5bjzkfv7ifdkh5jp4
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Hengfei Lu. "Theta correspondence and the Prasad conjecture for SL(2)." Pacific Journal of Mathematics 295.2 (2018) 477-498