The Aubert involution and R-groups |
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Authors: | Dubravka Ban |
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Institution: | Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, USA |
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Abstract: | We establish the connection between the standard intertwining operators for a square integrable representation and its Aubert involution. In the cases of special orthogonal groups and symplectic groups, we define the R-group for a nontempered unitary representation, under the assumption that the Aubert involution of the representation is square-integrable. |
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