A proof of the Howe duality conjecture

By W. Gan, Shuichiro Takeda. 2014

135 citations recorded by the source corpus.

We give a proof of the Howe duality conjecture in local theta correspondence for symplectic-orthogonal or unitary dual pairs in arbitrary residual characteristic.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/8ffd6512e52b74b3f42859e1656d0356796a7ee6

Citations in the corpus

• The Noether-Lefschetz conjecture and generalizations (2014, unknown): “[28, 64, 62]) asserts further that if Θ(τ) ≠ 0, then it has a unique irreducible quotient θψ,v(τ) and two representations τ1, τ2 are isomorphic if θψ,v(τ1) ≅ θψ,v(τ2).”