On signed p-Kostka matrices
We show that the signed p-Kostka numbers depend just on p-Kostka numbers and the multiplicities of projective indecomposable modules in certain signed Young permutation modules. We then examine the signed p-Kostka number k₍α|ᵦ₎,₍λ|pμ₎ in the case when |β|=p|μ|. This allows us to explicitly describe...
Saved in:
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/153904 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Nanyang Technological University |
| Language: | English |
| id |
sg-ntu-dr.10356-153904 |
|---|---|
| record_format |
dspace |
| spelling |
sg-ntu-dr.10356-1539042023-02-28T19:46:56Z On signed p-Kostka matrices Giannelli, Eugenio Lim, Kay Jin School of Physical and Mathematical Sciences Science::Mathematics Modules Representations We show that the signed p-Kostka numbers depend just on p-Kostka numbers and the multiplicities of projective indecomposable modules in certain signed Young permutation modules. We then examine the signed p-Kostka number k₍α|ᵦ₎,₍λ|pμ₎ in the case when |β|=p|μ|. This allows us to explicitly describe the multiplicities of direct summands of a signed Young permutation module lying in the principal block of F ᵐᵖ in terms of the p-Kostka numbers. Ministry of Education (MOE) Submitted/Accepted version The second author is supported by Singapore Ministry of Education AcRF Tier 1 grant RG17/20. 2021-12-13T03:52:34Z 2021-12-13T03:52:34Z 2021 Journal Article Giannelli, E. & Lim, K. J. (2021). On signed p-Kostka matrices. Journal of Pure and Applied Algebra, 225(6), 106631-. https://dx.doi.org/10.1016/j.jpaa.2020.106631 0022-4049 https://hdl.handle.net/10356/153904 10.1016/j.jpaa.2020.106631 2-s2.0-85096197341 6 225 106631 en RG17/20 Journal of Pure and Applied Algebra © 2020 Elsevier B.V. All rights reserved. This paper was published in Journal of Pure and Applied Algebra and is made available with permission of Elsevier B.V. application/pdf |
| institution |
Nanyang Technological University |
| building |
NTU Library |
| continent |
Asia |
| country |
Singapore Singapore |
| content_provider |
NTU Library |
| collection |
DR-NTU |
| language |
English |
| topic |
Science::Mathematics Modules Representations |
| spellingShingle |
Science::Mathematics Modules Representations Giannelli, Eugenio Lim, Kay Jin On signed p-Kostka matrices |
| description |
We show that the signed p-Kostka numbers depend just on p-Kostka numbers and the multiplicities of projective indecomposable modules in certain signed Young permutation modules. We then examine the signed p-Kostka number k₍α|ᵦ₎,₍λ|pμ₎ in the case when |β|=p|μ|. This allows us to explicitly describe the multiplicities of direct summands of a signed Young permutation module lying in the principal block of F ᵐᵖ in terms of the p-Kostka numbers. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Giannelli, Eugenio Lim, Kay Jin |
| format |
Article |
| author |
Giannelli, Eugenio Lim, Kay Jin |
| author_sort |
Giannelli, Eugenio |
| title |
On signed p-Kostka matrices |
| title_short |
On signed p-Kostka matrices |
| title_full |
On signed p-Kostka matrices |
| title_fullStr |
On signed p-Kostka matrices |
| title_full_unstemmed |
On signed p-Kostka matrices |
| title_sort |
on signed p-kostka matrices |
| publishDate |
2021 |
| url |
https://hdl.handle.net/10356/153904 |
| _version_ |
1759855232991363072 |