Modular Class of a Lie algebroid with a Nambu structure

2014/01/29 by Apurba Das, Das, Apurba, Shilpa Gondhali +3
Mathematics · #53C15 #53Cxx #53D17 #81S10 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C15 #msc:53Cxx #msc:53D17 #msc:81S10

paper · pdf · doi:10.48550/arxiv.1401.7468

arxiv created 2014/01/29 · openalex publication_date 2014/01/29 · arxiv updated 2014/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the notion of modular class of a Lie algebroid A equipped with a Nambu structure satisfying some suitable hypothesis. We also introduce cohomology and homology theories for such Lie algebroids and prove that these theories are connected by a duality isomorphism when the modular class is null.

Related

• Nambu structures on Lie algebroids and their modular classes
• Modular classes of Lie algebroid morphisms
• Relative modular classes of Lie algebroids
• Modular class of Lie ∞-algebroids and adjoint representation
• Nambu Structures And Associated Bialgebroids