On the derived category of an algebra over an operad
Clemens Berger, Ieke Moerdijk
TL;DR
This paper introduces a general framework for constructing the derived category of an algebra over an operad, emphasizing the role of the enveloping operad and its invariance properties.
Contribution
It provides a novel, general method for deriving categories of operad algebras and explores their invariance, expanding the theoretical understanding of operad-based algebraic structures.
Findings
Constructed a general derived category for operad algebras.
Proved invariance properties of the derived category.
Highlighted the significance of the enveloping operad in the construction.
Abstract
We present a general construction of the derived category of an algebra over an operad and establish its invariance properties. A central role is played by the enveloping operad of an algebra over an operad.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models