Free Monoid in Monoidal Abelian Categories |
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| Authors: | Bruno Vallette |
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| Institution: | (1) Laboratoire J.A. Dieudonné, Université de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice Cedex 02, France |
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| Abstract: | We give an explicit construction of the free monoid in monoidal abelian categories when the monoidal product does not necessarily
preserve coproducts. Then we apply it to several new monoidal categories that appeared recently in the theory of Koszul duality
for operads and props. This gives a conceptual explanation of the form of the free operad, free dioperad and free properad.
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| Keywords: | Monoidal category Free monoid Operad Properad Props |
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