31 citations · 151 across the 36 of their papers we have counts for
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math.RT2017★ 1 cited
Shelstad's character identity from the point of view of index theory
Peter Hochs, Hang Wang
Shelstad's character identity is an equality between sums of characters of tempered representations in corresponding -packets of two real, semisimple, linear, algebraic groups t…
math.RT2017★ 2 cited
A geometric realisation of tempered representations restricted to maximal compact subgroups
Peter Hochs, Yanli Song, Shilin Yu
Let be a connected, linear, real reductive Lie group with compact centre. Let be maximal compact. For a tempered representation of , we realise the restriction $π|…
math.DG2017★ 20 cited
A fixed point formula and Harish-Chandra's character formula
Peter Hochs, Hang Wang
The main result in this paper is a fixed point formula for equivariant indices of elliptic differential operators, for proper actions by connected semisimple Lie groups on possibly…