Representations of classical Lie groups and quantized free convolution

We study the decompositions into irreducible components of tensor products and restrictions of irreducible representations for all series of classical Lie groups as the rank of the group goes to infinity. We prove the Law of Large Numbers for the random counting measures describing the decomposition...

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Bibliographic Details
Main Authors: Bufetov, Alexey, Gorin, Vadim
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer Basel 2017
Online Access:http://hdl.handle.net/1721.1/106922
https://orcid.org/0000-0002-9828-5862