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Application II: Periods, Distinguished Representations and \((\mathfrak {g},K)\)-cohomologies

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2234))

Abstract

Let H be a subgroup of G. Following the terminology used in automorphic forms and the relative trace formula, we say that a smooth representation U of G is H-distinguished if there exists a nontrivial H-invariant linear functional.

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Kobayashi, T., Speh, B. (2018). Application II: Periods, Distinguished Representations and \((\mathfrak {g},K)\)-cohomologies. In: Symmetry Breaking for Representations of Rank One Orthogonal Groups II. Lecture Notes in Mathematics, vol 2234. Springer, Singapore. https://doi.org/10.1007/978-981-13-2901-2_12

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