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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 ...
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...