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We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations for the dual pair of groups $$(\text {Sp}_{2n}, \text {O}(V))$$ defined… Click to show full abstract
We determine the occurrence and explicitly describe the theta lifts on all levels of all the irreducible generic representations for the dual pair of groups $$(\text {Sp}_{2n}, \text {O}(V))$$ defined over a local nonarchimedean field $${\mathbb {F}}$$ of characteristic 0. As a direct application of our results, we are able to produce a series of non-generic unitarizable representations of these groups.
Keywords:
representations dual;
text text;
theta lifts;
generic representations;
dual pairs;
lifts generic
Journal Title: Manuscripta Mathematica
Year Published: 2020
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Journal Title: Manuscripta Mathematica
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!