PARITIES OF v-DECOMPOSITION NUMBERS AND AN APPLICATION TO SYMMETRIC GROUP ALGEBRAS
نویسنده
چکیده
We prove that the v-decomposition number dλμ(v) is an even or odd polynomial according to whether the partitions λ and μ have the same relative sign (or parity) or not. We then use this result to verify Martin’s conjecture for weight 3 blocks of symmetric group algebras — that these blocks have the property that their projective (indecomposable) modules have a common radical length 7.
منابع مشابه
PARITIES OF v-DECOMPOSITION NUMBERS
We prove that the v-decomposition number dλμ(v) arising from the canonical basis of the Fock space representation of Uv(ŝle) is an even or odd polynomial according to whether the partitions λ and μ have the same relative e-sign (or e-parity) or not.
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