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- Université de LorraineFR874 papers
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5 papers · 2 filters
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…
Linear periods of automorphic sheaves for GL_{2n}
Sergey Lysenko
We calculate, in the framework of the geometric Langlands program, the periods of cuspidal automorphic sheaves for GL_{2n} along the Levi subgroup GL_n\times\GL_n. We also solve th…
Symmetry breaking differential operators, the source operator and Rodrigues formulæ
Jean-Louis Clerc
A Rodrigues type formula is obtained for the symbols of the covariant bi-differential operators on a simple Jordan algebra.
On the automorphic sheaves for GSp_4
Sergey Lysenko
In this paper we first review the setting for the geometric Langlands functoriality and establish a result for the `backward' functoriality functor. We illustrate this by known exa…
Continuity of the Mackey-Higson bijection
Alexandre Afgoustidis, Anne-Marie Aubert
When is a real reductive group and is its Cartan motion group, the Mackey-Higson bijection is a natural one-to-one correspondence between all irreducible tempered represe…