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CLASSIFICATION OF CONSTRAINTS USING THE CHAIN-BY-CHAIN METHOD

2000/03/31 by F Loran, F. LORAN, A Shirzad +1 · 20 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Constraint (computer-aided design) #Constraint algebra #Constraint satisfaction #Homotopy and Cohomology in Algebraic Topology #Minification #Polynomial and algebraic computation #Symplectic geometry #hep-th

paper · pdf · doi:10.1142/s0217751x02009643

published in International Journal of Modern Physics A 17(05), 625-642 (World Scientific) · 23 pages, to appear in Int. J. Mod. Phys. A

arxiv created 2001/12/05 · openalex publication_date 2002/02/20 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We introduce the "chain-by-chain" method for constructing the constraint structure of a system possessing both first- and second-class constraints. We show that the whole constraint can be classified into completely irreducible first- or second-class chains. We found an appropriate redefinition of second-class constraints to obtain a symplectic algebra among them.

Citations

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