In this book we study a generalization of this construction with the aim to model functors on algebras over operads. For an operad P, we use the notation PE to refer to the category of P-algebras in E. We aim to model functors F : RE → E from a category of algebras over an operad R to the underlying category E, functors F : E → PE from the underlying category E to a category of algebras over an operad P, as well as functors F : RE → PE from a category of algebras over an operad R to another category of algebras over an operad P.
Keywords
- Associative Algebra
- Monoidal Category
- Multiplicative Structure
- Homotopy Invariance
- Symmetric Monoidal Category
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2009 Springer-Verlag Berlin Heidelberg
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Fresse, B. (2009). Introduction. In: Modules over Operads and Functors. Lecture Notes in Mathematics(), vol 1967. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89056-0_0
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DOI: https://doi.org/10.1007/978-3-540-89056-0_0
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