TY - JOUR

T1 - The classification of multiplicity-free plethysms of Schur functions

AU - Bessenrodt, Christine

AU - Bowman, Chris

AU - Paget, Rowena

N1 - Funding Information: Received by the editors April 18, 2020, and, in revised form, January 4, 2022. 2020 Mathematics Subject Classification. Primary 05E05, 20C30, 20C15. Key words and phrases. Symmetric functions, plethystic products, Schur functions, multiplicity-free products, representations of symmetric groups. 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.

PY - 2022/7/1

Y1 - 2022/7/1

N2 - 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.

AB - 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.

KW - multiplicity-free products

KW - plethystic products

KW - representations of symmetric groups

KW - Schur functions

KW - Symmetric functions

UR - http://www.scopus.com/inward/record.url?scp=85132422065&partnerID=8YFLogxK

U2 - 10.1090/tran/8642

DO - 10.1090/tran/8642

M3 - Article

AN - SCOPUS:85132422065

VL - 375

SP - 5151

EP - 5194

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

SN - 0002-9947

IS - 7

ER -