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Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
2014/12/20
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 ...
(p,q) D=3 Poincare supergravities from Lie algebra expansions
Lie algebra expansions High Energy Physics - Theory
2011/10/8
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...
Homology of Lie algebra of supersymmetries and of super Poincare Lie algebra
Lie algebra supersymmetries super Poincare Lie algebra High Energy Physics - Theory
2011/7/27
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...
Irreducible Highest Weight Representations Of The Simple n-Lie Algebra
Irreducible Highest Weight Representations Simple n-Lie Algebra
2010/12/24
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...
Coherent states, displaced number states and Laguerre polynomial states for su(1,1) Lie algebra
Coherent states displaced number states Laguerre polynomial states su(1,1) Lie algebra
2010/10/13
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 Two-Mode Squeezed Vacuum States as Realization of SU(1,1) Lie Algebra
Non-classical field states two-mode squeezed vacuum states nonlinear two-mode coherent states nonlinear pair coherent states squeezing two-mode SU(1,1) lie algebra coherent states
2010/4/9
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...
Exact Solutions of Two Coupled Harmonic Oscillators Related
to the Sp(4,R) Lie Algebra
coupled harmonic oscillators Sp(4 R) Lie algebra vector coherent states
2007/8/15
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...
Upper Triangular Matrix of Lie Algebra and a New
Discrete Integrable Coupling System
upper triangular matrix Lie
algebra integrable coupling system
2007/8/15
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...
Expansion of Lie Algebra and Its Application
loop algebra zero curvature equation expanding integrable model
multi-component NLS-mKdV hierarchy
2007/8/15
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...
New Matrix Lie Algebra, a Powerful Tool for Constructing
Multi-component C-KdV Equation Hierarchy
matrix Lie algebra Liouville integrable integrable coupling
2007/8/15
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...