32 citations · 78 across the 21 of their papers we have counts for
24 papers
The crystal groupoid of a compact semisimple Lie group and its flag varieties
Aidan Sims, Robert Yuncken
We introduce the crystal groupoid of a compact semisimple Lie group ; it is the Deaconu-Renault groupoid of a higher-rank analogue of a subshift of finite type on an inverse lim…
Lie groupoids, the Satake compactification and the tempered dual, I: The Satake groupoid
Jacob Bradd, Nigel Higson, Robert Yuncken
The (maximal) Satake compactification associated to a real reductive group is the closure of the symmetric space of all maximal compact subgroups of within the compact spac…
Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle
Jacob Bradd, Nigel Higson, Robert Yuncken
We give a geometric account of Harish-Chandra's principle that a tempered irreducible representation of a real reductive group is either square-integrable modulo center, or embedda…
Operator K-Theory and Tempiric Representations
Jacob Bradd, Nigel Higson, Robert Yuncken
David Vogan proved that if is a real reductive group, and if is a maximal compact subgroup of , then every irreducible representation of is included as a minimal …
Algebraic isomorphisms of quantized homogeneous spaces
Robert Yuncken
We describe a proof of the following folklore theorem: If $\cX = G/K$ is the homogeneous space of a simply connected compact semisimple Lie group with Poisson-Lie stabilizers, then…
Quantized semisimple Lie groups
Rita Fioresi, Robert Yuncken
These notes present a quick introduction to the q-deformations of semisimple Lie groups from the point of view of unitary representation theory. In order to remain concrete, we con…