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math.RT2012★ 1 cited
On the lattice model of the Weil representation and the Howe duality conjecture
Shuichiro Takeda
The lattice model of the Weil representation over non-archimedean local field of odd residual characteristic has been known for decades, and is used to prove the Howe duality c…
math.NT2012★ 5 cited
The Regularized Siegel-Weil Formula (The Second Term Identity) and the Rallis Inner Product Formula
Wee Teck Gan, Yannan Qiu, Shuichiro Takeda
In this paper, we establish the second term identity of the Siegel-Weil formula in full generality, and derive the Rallis inner product formula for global theta lifts for any dual…