非交换几何中外导算子的幂零矩阵表示
Nilpotent Matrix Representation of Exterior Derivative Operator in Noncommutative Geometry
摘要:
在这封信中,我们显示了一个幂零矩阵表示的外导算子在非交换几何(NCG),通过转换的非交换关系的代数形式化到原来的。因此,我们可以构造扩展的规范理论,而不需要复杂的代数规则,也不需要过多的微分代数和非单态表示。
英文摘要:
In this letter, we show a nilpotent matrix representation of the exterior derivative operator in noncommutative geometry (NCG), by translating the noncommutative relations of the algebraic formalization into the original one. As a result, we can construct the extended gauge theory without complicated algebraic rules nor excessively large differential algebra and non-monomorphic representation.
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