Operads
Multilinear algebraic structures encoding operations with multiple inputs.
Operads. Multilinear algebraic structures encoding operations with multiple inputs.
Foundations and canonical references
The standard treatments of operads approach the subject from complementary angles. Loday, Algebraic Operads (2012) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to. Markl, Operads in Algebra, Topology and Physics (2002) gives a parallel, more proof-oriented exposition of the same material and is widely used as a graduate text.
Open methodological questions for operads include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2012Algebraic Operadsloday-2012, vallette-2012
- textbook · primary · 2002Operads in Algebra, Topology and Physicsmarkl-2002, shnider-2002, stasheff-2002
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