howe correspondence Latest Research Papers

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.

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On extended Weil representation for finite general linear group and Howe correspondence

Journal of Algebra ◽

10.1016/j.jalgebra.2020.04.024 ◽

2020 ◽

Vol 559 ◽

pp. 129-160

Author(s):

Takahiro Tsushima

Keyword(s):

Linear Group ◽

General Linear Group ◽

Weil Representation ◽

General Linear ◽

Finite General Linear Group ◽

Howe Correspondence

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A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients

Physics Letters A ◽

10.1016/j.physleta.2020.126746 ◽

2020 ◽

Vol 384 (29) ◽

pp. 126746

Author(s):

Julien Gaboriaud ◽

Luc Vinet

Keyword(s):

Howe Correspondence

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Extremal unipotent representations for the finite Howe correspondence

Journal of Algebra ◽

10.1016/j.jalgebra.2019.05.046 ◽

2019 ◽

Vol 535 ◽

pp. 480-502

Author(s):

Jesua Epequin Chavez

Keyword(s):

Unipotent Representations ◽

Howe Correspondence

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Howe correspondence and Springer correspondence for real reductive dual pairs

manuscripta mathematica ◽

10.1007/s00229-013-0617-y ◽

2013 ◽

Vol 143 (1-2) ◽

pp. 81-130 ◽

Cited By ~ 1

Author(s):

A.-M. Aubert ◽

W. Kraśkiewicz ◽

T. Przebinda

Keyword(s):

Dual Pairs ◽

Reductive Dual Pairs ◽

Springer Correspondence ◽

Howe Correspondence

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On the occurrence of admissible representations in the real Howe correspondence in stable range

manuscripta mathematica ◽

10.1007/s00229-007-0161-8 ◽

2008 ◽

Vol 126 (2) ◽

pp. 135-141 ◽

Cited By ~ 5

Author(s):

V. Protsak ◽

T. Przebinda

Keyword(s):

Stable Range ◽

The Real ◽

Howe Correspondence

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On the Structure of the Full Lift for the Howe Correspondence of (Sp(n), O(V)) for Rank-One Reducibilities

Canadian Mathematical Bulletin ◽

10.4153/cmb-2006-054-3 ◽

2006 ◽

Vol 49 (4) ◽

pp. 578-591 ◽

Cited By ~ 11

Author(s):

Goran Muić

Keyword(s):

Rank One ◽

Howe Correspondence

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

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On the Howe correspondence for symplectic–orthogonal dual pairs

Journal of Functional Analysis ◽

10.1016/j.jfa.2005.03.015 ◽

2005 ◽

Vol 228 (2) ◽

pp. 270-310 ◽

Cited By ~ 11

Author(s):

Annegret Paul

Keyword(s):

Dual Pairs ◽

Howe Correspondence

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Howe correspondence for discrete series representations; the case of (Sp(n);O(V))

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2004.014 ◽

2004 ◽

Vol 2004 (567) ◽

Cited By ~ 3

Author(s):

Goran Muic

Keyword(s):

Discrete Series ◽

Series Representations ◽

Discrete Series Representations ◽

Howe Correspondence

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One-Dimensional Representations of U (p,q) and the Howe Correspondence

Journal of Functional Analysis ◽

10.1006/jfan.2002.3974 ◽

2002 ◽

Vol 195 (1) ◽

pp. 129-166 ◽

Cited By ~ 4

Author(s):

Annegret Paul ◽

Peter E. Trapa

Keyword(s):

One Dimensional ◽

Howe Correspondence

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howe correspondence
Recently Published Documents

TOTAL DOCUMENTS

H-INDEX

Theta correspondence for p-adic dual pairs of type I

On extended Weil representation for finite general linear group and Howe correspondence

A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients

Extremal unipotent representations for the finite Howe correspondence

Howe correspondence and Springer correspondence for real reductive dual pairs

On the occurrence of admissible representations in the real Howe correspondence in stable range

On the Structure of the Full Lift for the Howe Correspondence of (Sp(n), O(V)) for Rank-One Reducibilities

On the Howe correspondence for symplectic–orthogonal dual pairs

Howe correspondence for discrete series representations; the case of (Sp(n);O(V))

One-Dimensional Representations of U (p,q) and the Howe Correspondence

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howe correspondenceRecently Published Documents

TOTAL DOCUMENTS

H-INDEX

Theta correspondence for p-adic dual pairs of type I

On extended Weil representation for finite general linear group and Howe correspondence

A Howe correspondence for the algebra of the osp(1|2) Clebsch-Gordan coefficients

Extremal unipotent representations for the finite Howe correspondence

Howe correspondence and Springer correspondence for real reductive dual pairs

On the occurrence of admissible representations in the real Howe correspondence in stable range

On the Structure of the Full Lift for the Howe Correspondence of (Sp(n), O(V)) for Rank-One Reducibilities

On the Howe correspondence for symplectic–orthogonal dual pairs

Howe correspondence for discrete series representations; the case of (Sp(n);O(V))

One-Dimensional Representations of U (p,q) and the Howe Correspondence

howe correspondence
Recently Published Documents