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arxiv: 1101.1896 · v1 · pith:YW44P7AXnew · submitted 2011-01-10 · 🧮 math.AT · math.KT

Gerstenhaber-Schack diagram cohomology from operadic point of view

classification 🧮 math.AT math.KT
keywords cohomologyoperadicdiagramgerstenhaber-schacka-modulesalgebrascategorycomputed
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We show that the operadic cohomology for any type of algebras over a non-symmetric operad A can be computed as Ext in the category of operadic A-modules. We use this principle to prove that the Gerstenhaber-Schack diagram cohomology is operadic cohomology.

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