P. Hochs

activity

20052026

most citedGeometric quantization and families of inner products

31 citations · 151 across the 36 of their papers we have counts for

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3 papers · 1 filter

math.RT2026

Well-tempered symmetric spaces

Alexandre Afgoustidis, Peter Hochs, Shintaro Nishikawa +1

Let $X = G / H$ be a real reductive symmetric space. We consider the support of the Plancherel measure for the regular representation of $G$ on $L^{2} (X)$ , and its Fell topology. We firs…

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 $L$ -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 $G$ be a connected, linear, real reductive Lie group with compact centre. Let $K < G$ be maximal compact. For a tempered representation $π$ of $G$ , we realise the restriction $π|…