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arXiv math/0005122math.QAhep-thmath-phmath.GRmath.MPmath.RTnlin.SIquant-ph
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两个参数量子变形U $_{pq}$ [gl(2/2)]的诱导表示

Induced Representations of the Two Parametric Quantum Deformation U$_{pq}$[gl(2/2)]

Nguyen Anh Ky

摘要:

研究了双参数量子超代数$U_{p,q}[gl(2/2)]$及其诱导表示.文中还详细描述了构造该量子超代数的所有有限维不可约表示的方法。事实证明,两参数$U_{p,q}[gl(2/2)]$的有限维表示,即使在一般的变形参数,从经典超代数$gl(2/2)$的简单平凡的变形,不像单参数的情况。

英文摘要:

The two-parametric quantum superalgebra $U_{p,q}[gl(2/2)]$ and its induced representations are considered. A method for constructing all finite-dimensional irreducible representations of this quantum superalgebra is also described in detail. It turns out that finite-dimensional representations of the two-parametric $U_{p,q}[gl(2/2)]$, even at generic deformation parameters, are not simply trivial deformations from those of the classical superalgebra $gl(2/2)$, unlike the one-parametric cases.

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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