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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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The uniqueness of plethystic factorisation
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by Chris Bowman and Rowena Paget PDF
Trans. Amer. Math. Soc. 373 (2020), 1653-1666 Request permission

Abstract:

We prove that the plethysm product of two Schur functions can be factorised uniquely (modulo some trivial cases) and classify homogeneous and indecomposable plethysm products.
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Additional Information
  • Chris Bowman
  • Affiliation: School of Mathematics, Statistics and Actuarial Science, University of Kent, CT2 7NF, United Kingdom
  • MR Author ID: 922280
  • Email: c.d.bowman@kent.ac.uk
  • Rowena Paget
  • Affiliation: School of Mathematics, Statistics and Actuarial Science, University of Kent, CT2 7NF, United Kingdom
  • MR Author ID: 760995
  • Email: r.e.paget@kent.ac.uk
  • Received by editor(s): April 9, 2019
  • Published electronically: December 2, 2019
  • Communicated by: James Haglund
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 373 (2020), 1653-1666
  • MSC (2010): Primary 05E05, 20C30
  • DOI: https://doi.org/10.1090/tran/8021
  • MathSciNet review: 4068277