2000/05/25 by Michel Dubois‐Violette, Michel Dubois-Violette, Dubois-Violette, Michel
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Numerical methods for differential equations #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.math/0005256
36 pages; minor typo corrections
openalex publication_date 2000/05/25 · arxiv created 2000/06/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
These notes contain a survey of some aspects of the theory of differential modules and complexes as well as of their generalization, that is, the theory of N-differential modules and N-complexes. Several applications and examples coming from physics are discussed. The commun feature of these physical applications is that they deal with the theory of constrained or gauge systems. In particular different aspects of the BRS methods are explained and a detailed account of the N-complexes arising in the theory of higher spin gauge fields is given.