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Myshkin
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This is not an answer but a followup question. In the p-adic case, is there any hope for a a set of conditions on the local Langlands correspondence which would make it unique? In the case of GL(n)$GL(n)$ this is provided by L and epsilon factors. For classical groups, can one make a precise statement (even conjecturally) for classical groups, using lifting to GL(n)$GL(n)$?

This is not an answer but a followup question. In the p-adic case, is there any hope for a set of conditions on the local Langlands correspondence which would make it unique? In the case of GL(n) this is provided by L and epsilon factors. For classical groups, can one make a precise statement (even conjecturally) for classical groups, using lifting to GL(n)?

This is not an answer but a followup question. In the p-adic case, is there any hope for a set of conditions on the local Langlands correspondence which would make it unique? In the case of $GL(n)$ this is provided by L and epsilon factors. For classical groups, can one make a precise statement (even conjecturally) for classical groups, using lifting to $GL(n)$?

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Jeffrey Adams
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This is not an answer but a followup question. In the p-adic case, is there any hope for a set of conditions on the local Langlands correspondence which would make it unique? In the case of GL(n) this is provided by L and epsilon factors. For classical groups, can one make a precise statement (even conjecturally) for classical groups, using lifting to GL(n)?