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Cohomologies and deformations of pre-Lie-morphism triples

Published 21 Dec 2021 in math.RA | (2112.10914v1)

Abstract: A (pre-)Lie-morphism triple consists of two (pre-)Lie algebras and a (pre-)Lie algebra homomorphism between them. We give chomologies of pre-Lie-morphism triples. As an application, we study the infinitesimal deformations of pre-Lie-morphism triples. Finally, we show that the cohomology of the pre-Lie-morphism triple can be deduced from a new cohomology of the Lie-morphism triple.

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Authors (3)

  1. Yibo Wang 
  2. Shilong Zhang 
  3. Jiefeng Liu 

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