Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The partition algebra and the Kronecker coefficients
HTML articles powered by AMS MathViewer

by C. Bowman, M. De Visscher and R. Orellana PDF
Trans. Amer. Math. Soc. 367 (2015), 3647-3667 Request permission

Abstract:

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.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 20C30, 05E10
  • Retrieve articles in all journals with MSC (2010): 20C30, 05E10
Additional Information
  • C. Bowman
  • Affiliation: Institut de Mathématiques de Jussieu, 5 rue du Thomas Mann, 75013, Paris, France
  • MR Author ID: 922280
  • Email: Bowman@math.jussieu.fr
  • M. De Visscher
  • Affiliation: Centre for Mathematical Science, City University London, Northampton Square, London, EC1V 0HB, England
  • MR Author ID: 703480
  • Email: Maud.Devisscher.1@city.ac.uk
  • R. Orellana
  • Affiliation: Department of Mathematics, 6188 Kemeny Hall, Dartmouth College, Hanover, New Hampshire 03755
  • Email: Rosa.C.Orellana@dartmouth.edu
  • Received by editor(s): March 6, 2013
  • Received by editor(s) in revised form: June 10, 2013, and July 4, 2013
  • Published electronically: December 11, 2014
  • © Copyright 2014 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 367 (2015), 3647-3667
  • MSC (2010): Primary 20C30, 05E10
  • DOI: https://doi.org/10.1090/S0002-9947-2014-06245-4
  • MathSciNet review: 3314819