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...
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| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/153904 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | 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. |
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