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arXiv math-ph/0701023math-phhep-thmath.MPmath.QA
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玻色化和寄生统计:一个例子和另一种方法

Bosonisation and Parastatistics: An Example and an Alternative Approach

K. Kanakoglou, C. Daskaloyannis

摘要:

综述了仿统计代数的定义及其李(超)代数结构的已知结果。讨论了超Hopf代数的概念。给出了将辫子范畴${}_{H}\mathcal{M}$($H$:拟三角Hopf代数)中的Hopf代数转换为普通Hopf代数的玻色化技术,并将其应用于抛物玻色代数.一个玻色化的建设也介绍了相同的代数和差异进行了讨论。

英文摘要:

Definitions of the parastatistics algebras and known results on their Lie (super)algebraic structure are reviewed. The notion of super-Hopf algebra is discussed. The bosonisation technique for switching a Hopf algebra in a braided category ${}_{H}\mathcal{M}$ ($H$: a quasitriangular Hopf algebra) into an ordinary Hopf algebra is presented and it is applied in the case of the parabosonic algebra. A bosonisation-like construction is also introduced for the same algebra and the differences are discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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