Generic representations of metaplectic groups and their theta lifts
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02563-z
Abstract: In this paper we give the description of generic representations of metaplectic groups over p-adic fields in terms of their Langlands parameters and calculate their theta lifts on all levels for any tower of odd… read more here.
Keywords: groups theta; metaplectic groups; theta lifts; generic representations ... See more keywords
Theta lifts of generic representations for dual pairs $$(\text {Sp}_{2n}, \text {O}(V))$$
Sign Up to like & getrecommendations! Published in 2020 at "Manuscripta Mathematica"
DOI: 10.1007/s00229-020-01221-2
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… read more here.
Keywords: representations dual; text text; theta lifts; generic representations ... See more keywords
Quaternion distinguished generic representations of GL2n
Sign Up to like & getrecommendations! Published in 2020 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-020-2045-5
Abstract: Let E/F be a quadratic extension of non-Archimedean local fields of characteristic 0. Let D be the unique quaternion division algebra over F and fix an embedding of E to D. Then, GLm(D) can be… read more here.
Keywords: quaternion; generic representations; quaternion distinguished; representations gl2n ... See more keywords
Generic representations for symmetric spaces
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2019.03.016
Abstract: For a connected quasi-split reductive algebraic group $G$ over a field $k$, which is either a finite field or a non-archimedean local field, $\theta$ an involutive automorphism of $G$ over $k$, let $K =G^\theta$. Let… read more here.
Keywords: representations symmetric; field; theta; generic representations ... See more keywords