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INJECTIVITY, PROJECTIVITY AND SUPERCUSPIDAL REPRESENTATIONS
Published online by Cambridge University Press: 01 October 2004
Abstract
Let $G$ be a reductive $p$-adic group. Consider the category of smooth (complex) representations of $G$ in which a (fixed) closed cocompact subgroup of the centre acts by a (fixed) character. It is well known that the supercuspidal representations in this category are both injective and projective. It is shown that, conversely, an admissible injective or projective object is necessarily supercuspidal.
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- The London Mathematical Society 2004
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