The partition algebra and the Kronecker coefficients

TY - JOUR

T1 - The partition algebra and the Kronecker coefficients

AU - De Visscher, M.

AU - Orellana, R.

AU - Bowman-Scargill, Chris

N1 - Publisher Copyright: © 2015, American Mathematical Society. Copyright: Copyright 2015 Elsevier B.V., All rights reserved.

PY - 2015/5/1

Y1 - 2015/5/1

N2 - We propose a new approach to study the Kronecker coefficients by using the Schur–Weyl duality between the symmetric group and the partition algebra. We explain the limiting behaviour and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the reduced Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.

AB - We propose a new approach to study the Kronecker coefficients by using the Schur–Weyl duality between the symmetric group and the partition algebra. We explain the limiting behaviour and associated bounds in the context of the partition algebra. Our analysis leads to a uniform description of the reduced Kronecker coefficients when one of the indexing partitions is a hook or a two-part partition.

UR - http://www.scopus.com/inward/record.url?scp=84923233990&partnerID=8YFLogxK

U2 - 10.1090/S0002-9947-2014-06245-4

DO - 10.1090/S0002-9947-2014-06245-4

M3 - Article

AN - SCOPUS:84923233990

SN - 0002-9947

VL - 367

SP - 3647

EP - 3667

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 5

ER -