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Title: On signed p-Kostka matrices
Authors: Giannelli, Eugenio
Lim, Kay Jin
Keywords: Science::Mathematics
Issue Date: 2021
Source: Giannelli, E. & Lim, K. J. (2021). On signed p-Kostka matrices. Journal of Pure and Applied Algebra, 225(6), 106631-.
Project: RG17/20
Journal: Journal of Pure and Applied Algebra
Abstract: 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 F𝕾ᵐᵖ in terms of the p-Kostka numbers.
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2020.106631
Rights: © 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.
Fulltext Permission: embargo_20230707
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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