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arXiv · 2507.21008

Higher Orbital Integrals on Motion Groups and Mackey Deformation

Angel Román·Yanli Song·Xiang Tang
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Abstract

We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integral on a real reductive group associated with a semisimple element converges to the corresponding one on the associated Cartan motion group.

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Angel Román, Yanli Song, Xiang Tang. 2025-07-28. Higher Orbital Integrals on Motion Groups and Mackey Deformation. https://arxiv.org/abs/2507.21008

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