howe correspondence
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Author(s):  
Petar Bakić ◽  
Marcela Hanzer

Abstract We describe explicitly the Howe correspondence for the symplectic-orthogonal and unitary dual pairs over a nonarchimedean local field of characteristic zero. More specifically, for every irreducible admissible representation of these groups, we find its first occurrence index in the theta correspondence and we describe, in terms of their Langlands parameters, the small theta lifts on all levels.


2020 ◽  
Vol 384 (29) ◽  
pp. 126746
Author(s):  
Julien Gaboriaud ◽  
Luc Vinet
Keyword(s):  

2013 ◽  
Vol 143 (1-2) ◽  
pp. 81-130 ◽  
Author(s):  
A.-M. Aubert ◽  
W. Kraśkiewicz ◽  
T. Przebinda

2006 ◽  
Vol 49 (4) ◽  
pp. 578-591 ◽  
Author(s):  
Goran Muić
Keyword(s):  
Rank One ◽  

AbstractIn this paper we determine the structure of the full lift for the Howe correspondence of (Sp(n), O(V)) for rank-one reducibilities.


2002 ◽  
Vol 195 (1) ◽  
pp. 129-166 ◽  
Author(s):  
Annegret Paul ◽  
Peter E. Trapa

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