3 ms·
The paper is here [1]. It begins with: """ The purpose of this paper is to give a finite algorithm for computing the set of irreducible unitary representations
by mathgenius 9y ago
The paper is here [1]. It begins with:
"""
The purpose of this paper is to give a finite algorithm for computing the set of
irreducible unitary representations of a real reductive Lie group G. Before explaining
the nature of the algorithm, it is worth recalling why this is an interesting question.
A serious historical survey would go back at least to the work of Fourier (which can
be understood in terms of the irreducible unitary representations of the circle).
"""
This work is also related to the "Langlands program", which is perhaps the mathematician's version of a grand unified theory of mathematics.
[1] "Unitary representations of real reductive groups"
https://arxiv.org/abs/1212.2192 https://arxiv.org/abs/1212.2192