Representation and cohomology of embedding tensors on Malcev algebras
Tao Zhang, Wei Zhong
TL;DR
This paper introduces the concept of embedding tensors on Malcev algebras, exploring their representation and cohomology theories, and investigates applications in deformation and abelian extension contexts.
Contribution
It develops the theory of embedding tensors on Malcev algebras, including their representations and cohomology, which was not previously studied in this setting.
Findings
Established the representation theory of embedding tensors on Malcev algebras.
Developed cohomology theory for embedding tensors on Malcev algebras.
Applied the theory to deformation and abelian extension problems.
Abstract
We introduce the concept of embedding tensor on Malcev algebras. The representation and cohomology theory of embedding tensor on Malcev algebras are studied. Some applications in deformation and abelian extension are investigated.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology