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arXiv · 1209.4123

Tempered Representations and Nilpotent Orbits

Benjamin Harris
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Abstract

Given a nilpotent orbit O of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation pi such that O occurs in the wave front cycle of pi. The coefficients of the wave front cycle of a tempered representation are expressed in terms of volumes of precompact submanifolds of an affine space.

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Benjamin Harris. 2012-09-19. Tempered Representations and Nilpotent Orbits. https://arxiv.org/abs/1209.4123

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