A note on the signature representations of the symmetric groups
For a partition λ and a prime p, we prove a necessary and sufficient condition for there to exist a composition δ such that δ can be obtained from λ after rearrangement and no partial sums of δ are divisible by p. To demonstrate why we are interested in the question, we compute some signed p-Kostka...
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2022
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| Online Access: | https://hdl.handle.net/10356/162420 |
| _version_ | 1824453480555741184 |
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| author | Lim, Kay Jin Wang, Jialin |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Lim, Kay Jin Wang, Jialin |
| author_sort | Lim, Kay Jin |
| collection | NTU |
| description | For a partition λ and a prime p, we prove a necessary and sufficient condition for there to exist a composition δ such that δ can be obtained from λ after rearrangement and no partial sums of δ are divisible by p. To demonstrate why we are interested in the question, we compute some signed p-Kostka numbers. |
| first_indexed | 2025-02-19T03:07:05Z |
| format | Journal Article |
| id | ntu-10356/162420 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:07:05Z |
| publishDate | 2022 |
| record_format | dspace |
| spelling | ntu-10356/1624202022-10-18T06:58:38Z A note on the signature representations of the symmetric groups Lim, Kay Jin Wang, Jialin School of Physical and Mathematical Sciences Science::Mathematics Schur Algebra Modular Kostka Number For a partition λ and a prime p, we prove a necessary and sufficient condition for there to exist a composition δ such that δ can be obtained from λ after rearrangement and no partial sums of δ are divisible by p. To demonstrate why we are interested in the question, we compute some signed p-Kostka numbers. Ministry of Education (MOE) he first author is supported by Singapore MOE Tier 2 AcRF MOE2015-T2-2-003 2022-10-18T06:58:38Z 2022-10-18T06:58:38Z 2021 Journal Article Lim, K. J. & Wang, J. (2021). A note on the signature representations of the symmetric groups. Algebra Colloquium, 28(3), 469-478. https://dx.doi.org/10.1142/S1005386721000365 1005-3867 https://hdl.handle.net/10356/162420 10.1142/S1005386721000365 2-s2.0-85111419176 3 28 469 478 en MOE2015-T2-2-003 Algebra Colloquium |
| spellingShingle | Science::Mathematics Schur Algebra Modular Kostka Number Lim, Kay Jin Wang, Jialin A note on the signature representations of the symmetric groups |
| title | A note on the signature representations of the symmetric groups |
| title_full | A note on the signature representations of the symmetric groups |
| title_fullStr | A note on the signature representations of the symmetric groups |
| title_full_unstemmed | A note on the signature representations of the symmetric groups |
| title_short | A note on the signature representations of the symmetric groups |
| title_sort | note on the signature representations of the symmetric groups |
| topic | Science::Mathematics Schur Algebra Modular Kostka Number |
| url | https://hdl.handle.net/10356/162420 |
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