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A Lie Group Structure Underlying the Triplectic Geometry | | M A Grigoriev
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12 Dec 1998 | | Journal: | Phys.Lett. B458 (1999) 499-504 | | Subject: | High Energy Physics - Theory; Differential Geometry; Mathematical Physics | hep-th math-ph math.DG math.MP | | Affiliation: | Lebedev Physics Institute | | Abstract: | We consider the pair of degenerate compatible antibrackets satisfying a generalization of the axioms imposed in the triplectic quantization of gauge theories. We show that this actually encodes a Lie group structure, with the antibrackets being related to the left- and right- invariant vector fields on the group. The standard triplectic quantization axioms then correspond to Abelian groups. | | Source: | arXiv, hep-th/9901046 | | Services: | Forum | Review | PDF | Favorites | |
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