Ternary generalizations of Grassmann algebra

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dc.creatorAbramov, Viktor
dc.date1996-07-31
dc.date.accessioned2026-07-07T04:22:19Z
dc.date.available2026-07-07T04:22:19Z
dc.descriptionWe propose the ternary generalization of the classical anti-commutativity and study the algebras whose generators are ternary anti-commutative. The integral over an algebra with an arbitrary number of generators N is defined and the formula of a change of variables is proved. In analogy with the fermion integral we define an analogue of the Pfaffian for a cubic matrix by means of Gaussian type integral and calculate its explicit form in the case of N=3.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9607240
dc.identifierhttp://arxiv.org/abs/hep-th/9607240
dc.identifierProc. Estonian Acad. Sci. Phys. Math., 45, 2/3, 174-182, 1996
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/54671
dc.subjectHigh Energy Physics - Theory
dc.titleTernary generalizations of Grassmann algebra
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