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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sg-ntu-dr.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 |
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Science::Mathematics Schur Algebra Modular Kostka Number |
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Science::Mathematics Schur Algebra Modular Kostka Number Lim, Kay Jin Wang, Jialin A note on the signature representations of the symmetric groups |
| 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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Lim, Kay Jin Wang, Jialin |
| format |
Article |
| author |
Lim, Kay Jin Wang, Jialin |
| author_sort |
Lim, Kay Jin |
| title |
A note on the signature representations of the symmetric groups |
| title_short |
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_sort |
note on the signature representations of the symmetric groups |
| publishDate |
2022 |
| url |
https://hdl.handle.net/10356/162420 |
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1749179232770064384 |