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Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
Abstract: We use the expansion of superalgebras procedure (summarized in the text) to derive Chern-Simons (CS) actions for the (p,q)-Poincare supergravities in three-dimensional spacetime. After deriv...
Abstract: We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare Lie algebra. We give complete answers for (non-extended) supersymmetry in all dimens...
A. Dzhumadil'daev classified all irreducible finite dimensional representations of the simple n-Lie algebra. Using a slightly different approach, we obtain in this paper a complete classification of ...
We apply the star product quantization to the Lie algebra. The quantization in terms of the star product is well known and the commutation relation in this case is called the $\theta$-deformation wher...
We study the homology and cohomology groups of super Lie algebra of supersymmetries and of super Poincare algebra. We discuss in detail the calculation in dimensions D=10 and D=6. Our methods can be a...
The ladder operator formalism of a general quantum state for su(1,1)ie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Perelomov’s cohe...
Nonlinear extensions of the two-mode squeezed vacuum states (NTMSVS's) are constructed and special cases of these states are discussed. We have constructed the NTMSVS's realization of SU(1,1) Lie alge...
2001Vol.35No.6pp.661-664DOI: Exact Solutions of Two Coupled Harmonic Oscillators Related to the Sp(4,R) Lie Algebra PAN Feng and DAI Lian-Rong Department of Physics, Lia...
2007Vol.47No.3pp.393-396DOI: Upper Triangular Matrix of Lie Algebra and a New Discrete Integrable Coupling System YU Fa-Jun and ZHANG Hong-Qing Department of Applied Mat...
2007Vol.47No.1pp.19-21DOI: Expansion of Lie Algebra and Its Application YANG Yong1 and ZHAO Yan2 1 Information School, Shandong University of Science and Technology, Qi...
2006Vol.45No.4pp.587-592DOI: New Matrix Lie Algebra, a Powerful Tool for Constructing Multi-component C-KdV Equation Hierarchy YU Fa-Jun and ZHANG Hong-Qing Department...

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