Some Results for Decomposition Numbers for the Hecke Algebra of Type A with q = ?1 |
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Authors: | Badr Alharbi |
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Institution: | 1. School of Mathematics , University of East Anglia , Norwich , UK B.Alharbi@uea.ac.uk |
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Abstract: | Let ? = ??, ?1(𝔖 n ) be the Hecke algebra of the symmetric group 𝔖 n . For partitions λ and ν with ν 2 ? regular, define the Specht module S(λ) and the irreducible module D(ν). Define d λν = S(λ): D(ν)] to be the composition multiplicity of D(ν) in S(λ). In this paper we compute the decomposition numbers d λν for all partitions of the form λ = (a, c, 1 b ) and ν 2 ? regular. |
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Keywords: | Decomposition numbers Hecke algebras Specht modules |
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