Bessenrodt, Christine, Bowman, Christopher, Paget, Rowena E. (2022) The classification of multiplicity-free products of Schur functions. Transactions of the American Mathematical Society, 375 (7). pp. 5151-5194. ISSN 0002-9947. (doi:10.1090/tran/8642) (KAR id:94955)
|
PDF
Author's Accepted Manuscript
Language: English |
|
|
Download this file (PDF/662kB) |
Preview |
| Request a format suitable for use with assistive technology e.g. a screenreader | |
| Official URL: https://doi.org/10.1090/tran/8642 |
|
| Additional URLs: |
|
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.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1090/tran/8642 |
| Uncontrolled keywords: | Symmetric functions, plethystic products, Schur functions, multiplicity-free products, representations of symmetric groups. |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA165 Combinatorics Q Science > QA Mathematics (inc Computing science) > QA171 Representation theory |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
|
| Depositing User: | Rowena Paget |
| Date Deposited: | 10 May 2022 12:27 UTC |
| Last Modified: | 22 Jul 2025 09:10 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/94955 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Bowman, Christopher.
| Creator's ORCID: |
 https://orcid.org/0000-0001-6046-8930
|
|---|---|
| CReDIT Contributor Roles: |
Paget, Rowena E..
| Creator's ORCID: |
https://orcid.org/0000-0001-8088-4421
|
|---|---|
| CReDIT Contributor Roles: |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):
Altmetric
Altmetric
