由分子间重组产生的约当代数

SIGSAM Bull. Pub Date : 2005-12-01 DOI:10.1145/1140378.1140380

M. Bremner

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引用次数: 10

摘要

我们用计算机代数证明了从理论遗传学出发的分子间重组操作的线性化满足一个次为4的非结合多项式恒等式，该恒等式包含了Jordan恒等式。我们利用对称群的表示理论将这个新恒等式分解成它的不可约分量。我们证明了这个新恒等式包含了分子间重组所满足的所有≤6度的恒等式。

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Jordan algebras arising from intermolecular recombination

We use computer algebra to show that a linearization of the operation of intermolecular recombination from theoretical genetics satisfies a nonassociative polynomial identity of degree 4 which implies the Jordan identity. We use the representation theory of the symmetric group to decompose this new identity into its irreducible components. We show that this new identity implies all the identities of degree ≤ 6 satisfied by intermolecular recombination.

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SIGSAM Bull.

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