Arthemy V. Kiselev
Published 2013-12-15Version 1
This short note contains an explicit proof of the Jacobi identity for variational Schouten bracket in $Z_2$-graded commutative setup. For the reasoning to be rigorous, it refers to the product bundle geometry of iterated variations (see arXiv:1312.1262 [math-ph]); no ad hoc regularizations occur anywhere in this theory.
Comments: Addendum to arXiv:1312.1262 [math-ph] (proof of Theorem 4.iii) by the same author; 4+iii pages. - Proc. Int. Workshop SQS'13 `Supersymmetry and Quantum Symmetries' (July 29 -- August 3, 2013; JINR Dubna, Russia)
Journal: Physics of Particles and Nuclei Letters, 2014, Vol.11, No.7, pp.1-4
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Physical Consequences of the Jacobi Identity
Jacobi Structures in $\mathbb{R}^3$
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