Browsing by Subject "Weil representation"
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Article
Commutative nilpotent closed algebras and weil representations
(2015)Let F be the field GF(q2) of q2 elements, q odd, and let V be an F-vector space endowed with a nonsingular Hermitian form φ. Let σ be the adjoint involutory antiautomorphism of EndFV associated to the form, and let U(φ) ...
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Article
Weil representations and some nonreductive dual pairs in symplectic and unitary groups
(2011)We study the restriction of the Weil representations of symplectic and unitary groups to subgroups that are the centralizers of certain elements, and show that these are multiplicity free. This work is along the line of ...