The classification of multiplicity-free plethysms of Schur functions

authored by

Christine Bessenrodt, Chris Bowman, Rowena Paget

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Univ. York, Dep. Comput. Sci., Non-Stand. Comput. Group
University of Kent

Type

Article

Journal

Transactions of the American Mathematical Society

Volume

375

Pages

5151-5194

No. of pages

44

ISSN

0002-9947

Publication date

01.07.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.1090/tran/8642 (Access: Closed)