Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere
Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere
复制标题
标准 Podles 量子球上的狄拉克算子和扭曲循环余循环
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
E. Wagner
中科院分区：
文献类型：
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作者：
K. Schmuedgen;E. Wagner
定义并研究了标准Podles球上的Dirac算子D。它产生了一个三谱，使得|D|^{-z}是Re z>的痕量类。带Dirac算子的换向子给出了标准Podles球上的二维协变微分。用狄拉克算子表示了与微分体积形式有关的扭环环。
A Dirac operator D on the standard Podles sphere is defined and investigated. It yields a spectral triple such that |D|^{-z} is of trace class for Re z>0. Commutators with the Dirac operator give the distinguished 2-dimensional covariant differential calculus on the standard Podles sphere. The twisted cyclic cocycle associated with the volume form of the differential calculus is expressed by means of the Dirac operator.