Details
| Original language | English |
|---|---|
| Pages (from-to) | 5151-5194 |
| Number of pages | 44 |
| Journal | Transactions of the American Mathematical Society |
| Volume | 375 |
| Issue number | 7 |
| Early online date | 4 May 2022 |
| Publication status | Published - 1 Jul 2022 |
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.
Keywords
- multiplicity-free products, plethystic products, representations of symmetric groups, Schur functions, Symmetric functions
ASJC Scopus subject areas
- Mathematics(all)
- Mathematics(all)
- Applied Mathematics
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In: Transactions of the American Mathematical Society, Vol. 375, No. 7, 01.07.2022, p. 5151-5194.
Research output: Contribution to journal › Article › Research › peer review
}
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 -