Author
Mason-Brown, L
Issue
https://arxiv.org/
Volume
ArXiv
Last updated
2024-03-25T02:49:14.057+00:00
Abstract
Suppose G is a real reductive group. The determination of the irreducible unitary representations of G is one of the major unsolved problem in representation theory. There is evidence to suggest that every irreducible unitary representation of G can be constructed through a sequence of well-understood operations from a finite set of building blocks, called the unipotent representations. These representations are `attached' (in a certain mysterious sense) to the nilpotent orbits of G on the dual space of its Lie algebra. Inside this finite set is a still smaller set, consisting of the unipotent representations attached to non-induced nilpotent orbits. In this paper, we prove that in many cases this smaller set generates (through a suitable kind of induction) all unipotent representations.
Symplectic ID
1155904
Favourite
Off
Publication type
59
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