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Representations of Lie groups and random matrices by Collins, Benoit; Sniady, Piotr is a scholarly article available to read on EtoBox.

What is Representations of Lie groups and random matrices about?

We study the asymptotics of representations of a fixed compact Lie group. We prove that the limit behavior of a sequence of such representations can be described in terms of certain random matrices; in particular operations on representations (for example: tensor product, restriction to a subgroup) correspond to some natural operations on random matrices (respectively: sum of independent random matrices, taking the corners of a random matrix). Our method of proof is to treat the canonical block matrix associated to a representation as a random matrix with non-commutative entries.

Author

Collins, Benoit; Sniady, Piotr

Published

2006

Language

EN