A new cohomology theory associated to deformations of Lie algebra morphisms

2003/04/22 by Yael Fregier, Yaël Frégier, Fregier, Yael · 1 citation
Mathematics · Physics and Astronomy · #18G60 #55N35 (Primary) #81S10 (secondary) #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #math-ph #math.MP #math.QA #msc:18G60 #msc:55N35 #msc:81S10

paper · pdf · doi:10.48550/arxiv.math/0304323

13 pages

arxiv created 2003/04/22 · openalex publication_date 2003/04/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a new cohomology theory related to deformations of Lie algebra morphisms. This notion involves simultaneous deformations of two Lie algebras and a homomorphism between them.

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• Deformations theory and minimal model of operads for Nijenhuis algebras morphisms

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