On M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving Diffeomorphisms

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dc.creatorHoppe, Jens
dc.date1996-02-05
dc.date.accessioned2026-07-07T04:21:52Z
dc.date.available2026-07-07T04:21:52Z
dc.descriptionM-branes are related to theories on function spaces $\cal{A}$ involving M-linear non-commutative maps from $\cal{A} \times \cdots \times \cal{A}$ to $\cal{A}$. While the Lie-symmetry-algebra of volume preserving diffeomorphisms of $T^M$ cannot be deformed when M>2, the arising M-algebras naturally relate to Nambu's generalisation of Hamiltonian mechanics, e.g. by providing a representation of the canonical M-commutation relations, $[J_1,\cdots, J_M]=i\hbar$. Concerning multidimensional integrability, an important generalisation of Lax-pairs is given.
dc.description16 pages, LaTex
dc.identifierhttps://arxiv.org/abs/hep-th/9602020
dc.identifierhttp://arxiv.org/abs/hep-th/9602020
dc.identifierHelv.Phys.Acta 70 (1997) 302-317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54493
dc.subjectHigh Energy Physics - Theory
dc.titleOn M-Algebras, the Quantisation of Nambu-Mechanics, and Volume Preserving Diffeomorphisms
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