108 citations · 197 across the 16 of their papers we have counts for
9 papers · 1 filter
On the Connes-Kasparov isomorphism, I: The reduced C*-algebra of a real reductive group and the K-theory of the tempered dual
Pierre Clare, Nigel Higson, Yanli Song +1
This is the first of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and the verification o…
The Mackey bijection for complex reductive groups and continuous fields of reduced group C*-algebras
Nigel Higson, Angel Roman
The purpose of this paper is to make a further contribution to the Mackey bijection for a complex reductive group G, between the tempered dual of G and the unitary dual of the asso…
Families of Symmetries and the Hydrogen Atom
Nigel Higson, Eyal Subag
We study a new type of symmetry for the hydrogen atom involving algebraic families of groups parametrized by the energy value in the time-independent Schrödinger equation. We const…
Algebraic Families of Groups and Commuting Involutions
Dan Barbasch, Nigel Higson, Eyal Subag
Let be a complex affine algebraic group, and let and be commuting anti-holomorphic involutions of . We construct an algebraic family of algebraic groups over the…
Contractions of Representations and Algebraic Families of Harish-Chandra Modules
Joseph Bernstein, Nigel Higson, Eyal Subag
We examine from an algebraic point of view some families of unitary group representations that arise in mathematical physics and are associated to contraction families of Lie group…
Algebraic Families of Harish-Chandra Pairs
Joseph Bernstein, Nigel Higson, Eyal Subag
Mathematical physicists have studied degenerations of Lie groups and their representations, which they call contractions. In this paper we study these contractions, and also other…