可分解挠7-球面上Clifford丛的非结合性
Non-Associativity in the Clifford Bundle on the Parallelizable Torsion 7-Sphere
摘要：
本文讨论了7-球面S7上Clifford丛的非结合性的推广性质。新的和突出的性质继承的非结合结构的Clifford丛S7的证明。它们自然地导致S7上旋量场的一般变换，并对相关的卡茨-穆迪电流代数产生戏剧性的后果。本文讨论了S7上Clifford丛的非结合结构的所有性质。我们将进一步讨论和探索它们的应用。
英文摘要：
In this paper we discuss generalized properties of non-associativity in Clifford bundles on the 7-sphere S7. Novel and prominent properties inherited from the non-associative structure of the Clifford bundle on S7 are demonstrated. They naturally lead to general transformations of the spinor fields on S7 and have dramatic consequences for the associated Kac-Moody current algebras. All additional properties concerning the non-associative structure in the Clifford bundle on S7 are considered. We further discuss and explore their applications.
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