3 citations · 5 across the 10 of their papers we have counts for
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Howe duality for the dual pair
Roman Lavicka, Allan Merino
The goal of our work is to study the decomposition of the joint action of and on the supersymmetric algebra $…
Classification and double commutant property for dual pairs in an orthosymplectic Lie supergroup
Allan Merino, Hadi Salmasian
In this paper, we obtain a full classification of reductive dual pairs in a, real or complex, Lie superalgebra and Lie supergroup . Moreover, b…
Characters of irreducible unitary representations of via double lifting from
Allan Merino
In this paper, we obtained character formulas of irreducible unitary representations of by using Howe's correspondence and the Cauchy--Harish-Chandra integral. The repr…
Transfer of characters for discrete series representations of the unitary groups in the equal rank case via the Cauchy-Harish-Chandra integral
Allan Merino
As conjectured by T. Przebinda, the transfer of characters in the Howe's correspondence should be obtained via the Cauchy-Harish-Chandra integral. In this paper, we prove that the…
Transfer of characters in the theta correspondence with one compact member
Allan Merino
For an irreducible dual pair with one member compact and two representations appearing in the Howe duality, we give an expression of the c…
Dual pairs in the Pin-group and duality for the corresponding spinorial representation
Clément Guérin, Gang Liu, Allan Merino
In this paper, we give a complete picture of Howe correspondence for the setting (), where is an orthogonal group (real or complex), is…
Characters of some unitary highest weight representations via the theta correspondence
Allan Merino
In this article, we consider a dual pair in the symplectic group with compact and let be the preimages of and in the metapl…