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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 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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