Block characters of the symmetric groups

A block character of a finite symmetric group is a positive definite function which depends only on the number of cycles in a permutation. We describe the cone of block characters by identifying its extreme rays, and find relations of the characters to descent representations and the coinvariant alg...

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Bibliographic Details
Main Authors: Gnedin, Alexander, Gorin, Vadim, Kerov, Sergei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2016
Online Access:http://hdl.handle.net/1721.1/105432
https://orcid.org/0000-0002-9828-5862