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本文讨论了广义Kac-Moody代数的虚根与不可约模L(A)的权相互“刻划”的关系,同时定义了广义Kac—Moody代数的严格虚根并给出了严格虚根的一些性质.它们推广了文献[2]和[3]中的某些结果. 相似文献
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Jian Peng Yi Huang Yong-Ming Li Jian Jing 《International Journal of Theoretical Physics》2011,50(10):3125-3133
We study noncommutative Chern-Simons mechanics and noncommutative Hall effect by Dirac theory in this paper. The magnetic
field is introduced by means of minimal coupling. We show that the constraint set will enlarge when a dimensionless parameter
takes zero value. In order to illustrate our idea, we study two specific models. One is noncommutative Chern-Simons mechanics
which describes a charged particle on a noncommutative plane interacting with a perpendicular uniform magnetic field. The
other is a charged particle on a noncommutative plane with a background uniform electromagnetic field. We show that when the
dimensionless parameter tends to zero, the particle will live in a lower dimensional space in both models. Noncommutative
Chern-Simons mechanics will reduce to a harmonic oscillator and the classical equations of motion of a charged particle in
the background of a uniform electromagnetic field are governed by classical Hall law when the dimensionless parameter tends
to zero. 相似文献
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