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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.

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The classification of multiplicity-free plethysms of Schur functions
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by Christine Bessenrodt, Chris Bowman and Rowena Paget PDF
Trans. Amer. Math. Soc. 375 (2022), 5151-5194 Request permission

Abstract:

We classify and construct all multiplicity-free plethystic products of Schur functions. We also compute many new (infinite) families of plethysm coefficients, with particular emphasis on those near maximal in the dominance ordering and those of small Durfee size.
References
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Additional Information
  • Christine Bessenrodt
  • Affiliation: Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität Hannover, 30167 Hannover, Germany
  • MR Author ID: 36045
  • Email: bessen@math.uni-hannover.de
  • Chris Bowman
  • Affiliation: Department of Mathematics, University of York, Heslington, YO10 5DD, United Kingdom
  • MR Author ID: 922280
  • Email: Chris.Bowman-Scargill@york.ac.uk
  • Rowena Paget
  • Affiliation: School of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury CT2 7NF, United Kingdom
  • MR Author ID: 760995
  • Email: R.E.Paget@kent.ac.uk
  • Received by editor(s): April 18, 2020
  • Received by editor(s) in revised form: January 4, 2022
  • Published electronically: May 4, 2022
  • Additional Notes: The second author would like to thank the Alexander von Humboldt Foundation and EPSRC fellowship grant EP/V00090X/1 for financial support and the Leibniz Universität Hannover for their ongoing hospitality
  • © Copyright 2022 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 375 (2022), 5151-5194
  • MSC (2020): Primary 05E05, 20C30, 20C15
  • DOI: https://doi.org/10.1090/tran/8642
  • MathSciNet review: 4439501