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Towards the Relative Langlands Duality for Orthosymplectic Pairs

math.RT · 2026-06-02 · unverdicted · novelty 7.0

Proves equivalence of categories for the S-dual of SO(2n)×Sp(2n) on C^{2n}⊗C^{2n} being SO(2n+1)×SO(2n) on T*SO(2n+1) as a non-polarized case of relative Langlands duality, with consequence for functoriality via theta correspondence.

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  • Towards the Relative Langlands Duality for Orthosymplectic Pairs math.RT · 2026-06-02 · unverdicted · none · ref 12

    Proves equivalence of categories for the S-dual of SO(2n)×Sp(2n) on C^{2n}⊗C^{2n} being SO(2n+1)×SO(2n) on T*SO(2n+1) as a non-polarized case of relative Langlands duality, with consequence for functoriality via theta correspondence.