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a review of Cohomology and deformation theory for operad with higher derivation by Yu Xuan

open access: yesa review of Cohomology and deformation theory for operad with higher derivation by Yu Xuan
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Cohomology and deformation theory for operad with higher derivation

Journal of Pure and Applied Algebra, 2023
Cohomologies and applications for Lie algebras with derivations were discussed in [\textit{R. Tang} et al., J. Algebra 534, 65--99 (2019; Zbl 1455.17020)]. The ideas were later applied to Leibniz and associative algebra with derivations [\textit{A. Das}, J. Homotopy Relat. Struct. 16, No. 2, 245--274 (2021; Zbl 1477.17018); \textit{A.
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Operads, modules and higher Hochschild cohomology

2013
In this thesis, we describe a general theory of modules over an algebra over an operad. We also study functors between categories of modules. Specializing to the operad [epsilon]d of little d-dimensional disks, we show that each (d - 1) manifold gives rise to a theory of modules over [epsilon]d-algebras and each bordism gives rise to a functor from the
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Enriched ∞-operads

Advances in Mathematics, 2020
Rune Haugseng
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Genuine equivariant operads

Advances in Mathematics, 2021
exaly  

Homotopy-Coherent Tensor Operations for Generalized Higher Operands

This paper generalizes tensor operations to higher operads using a framework based on inner automorphisms.
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