Recursion operators and constants of motion in supermechanics
type: Item
instance of: scholarly article
title: Recursion operators and constants of motion in supermechanics
zbMATH Open document ID: 0928.58004
DOI: 10.1016/S0926-2245(99)00007-8
author: J. F. Cariñena
author: Héctor Figueroa
published in: Differential Geometry and its Applications
publication date: 2000-01-04T00:00:00Z
review text: We prove that only even graded Poisson brackets can be characterized by the vanishing of the graded Schouten bracket of the associated graded tensor of type \((0,2)\) with itself. On the other hand, we prove that the supertraces of different powers of an invariant graded tensor of type \((1,1)\) are constants of motion, and that when such tensor is even, the infinitesimal supersymmetries it generates out of a given infinitesimal supersymmetry form a supercommutative superalgebra.
reviewed by: J. F. Cariñena
Mathematics Subject Classification ID: 58A50
Mathematics Subject Classification ID: 58C50
Mathematics Subject Classification ID: 70H33
zbMATH DE Number: 1308149
zbMATH Keywords: graded Poisson manifolds
zbMATH Keywords: graded Schouten brackets
zbMATH Keywords: recursion operators
zbMATH Keywords: constants of motion
Wikidata QID: Q115337435
MaRDI profile type: Publication
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full work available at URL: s0926-2245(99)00007-8
OpenAlex ID: W2002123170
description: scientific article; zbMATH DE number 1308149