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Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
Quantized Nambu-Poisson Manifolds 3-Lie Algebra Reduced Model
2011/3/2
We consider dimensional reduction of the Bagger-Lambert-Gustavsson theory to a zero-dimensional 3-Lie algebra model and construct various stable solutions corresponding to quantized Nambu-Poisson mani...
On the derivation algebra of the free Lie algebra and trace maps
derivation algebra free Lie algebra trace maps
2011/1/20
In this paper, we mainly study the derivation algebra of the free Lie algebra and the Chen Lie algebra generated by the abelianization H of a free group, and trace maps.
Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?
1-dimensional magnet detect 248-dimensional Lie algebra
2011/2/28
About a year ago, a team of physicists reported in Science that they had observed \evidence for E8 symmetry" in the laboratory. This expository article is aimed at mathematicians and explains the chai...
On twin and anti-twin words in the support of the free Lie algebra
On twin anti-twin words the free Lie algebra
2010/11/11
Let $L_{K}(A)$ be the free Lie algebra on a finite alphabet $A$ over a commutative ring $K$ with unity. For a word $u$ in the free monoid $A^{*}$ let $\tilde{u}$ denote its reversal. Two words in $A^...
M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra
Formality Deformation Quantization Operads
2010/12/1
We show that the zeroth cohomology of Kontsevich’s graph complex is isomorphic to the Grothendieck-Teichm¨uller Lie algebra grt. The map is explicitly described.