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)
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| Official URL: https://doi.org/10.1090/tran/8642 |
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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 |
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| 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 |
| Divisions: | 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: | 11 May 2022 09:21 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
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| CReDIT Contributor Roles: |
Paget, Rowena E..
| Creator's ORCID: |
https://orcid.org/0000-0001-8088-4421
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| CReDIT Contributor Roles: |
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