
TL;DR
This paper introduces a sesquilinear form approach to realize small theta lifts for specific dual pairs over p-adic fields, enhancing understanding of their representation theory.
Contribution
It presents a novel method using sesquilinear forms to realize small theta lifts for orthogonal-symplectic and unitary dual pairs over p-adic fields.
Findings
Realizes small theta lift using sesquilinear forms.
Applicable to even orthogonal-symplectic and unitary dual pairs.
Provides a new perspective on p-adic dual pair representations.
Abstract
In this note, we use certain sesquilinear form to realize small theta lift for even orthogonal-symplectic and unitary dual pairs over p-adic fields.
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