Full computation of Howe duality restrictions over finite fields yields recursive irrep constructions for symplectic and orthogonal groups plus proofs of rank and exhaustion conjectures for type C.
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Explicitly identifies the stable eta and zeta correspondences in Howe duality for finite fields using Lusztig's parametrization, linking them to pairs of irreducible representations with non-zero multiplicity as previously proved by S.-Y. Pan.
Constructs the type I Howe duality correspondence in the two stable ranges over finite fields as the first paper in a series.
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Howe duality over finite fields III: Full computation and the Gurevich-Howe conjectures
Full computation of Howe duality restrictions over finite fields yields recursive irrep constructions for symplectic and orthogonal groups plus proofs of rank and exhaustion conjectures for type C.
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Howe duality over finite fields II: Explicit stable computation
Explicitly identifies the stable eta and zeta correspondences in Howe duality for finite fields using Lusztig's parametrization, linking them to pairs of irreducible representations with non-zero multiplicity as previously proved by S.-Y. Pan.
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Howe duality over finite fields I: The two stable ranges
Constructs the type I Howe duality correspondence in the two stable ranges over finite fields as the first paper in a series.