Results 71 to 80 of about 120 (113)
Operads and Operadic Algebras in Homotopy Theory
, 2019 Expository article; book chapter. Final version (some minor corrections from previous version)
openaire +2 more sources
Pluriassociative algebras II: The polydendriform operad and related operads
Advances in Applied Mathematics, 2016 Dendriform algebras form a category of algebras recently introduced by Loday. A dendriform algebra is a vector space endowed with two nonassociative binary operations satisfying some relations. Any dendriform algebra is an algebra over the dendriform operad, the Koszul dual of the diassociative operad.
openaire +3 more sources
Cofibrant operads and universal E∞ operads
Topology and its Applications, 2003 AbstractWe introduce various homotopy structures on the category of operads, which shed some light into the homotopy theoretic nature of the barconstruction WB of an operad, the whiskering process for operads and the Σ-freeness condition. Using the lifting property of cofibrant objects, we construct E∞ operads A which are universal: any E∞-structure ...
openaire +1 more source
Category-colored operads, internal operads, and Markl -operads
Theory and Applications of Categories, 2023 openaire +1 more source
Relative operads model $\infty$-operads
16 pages, comments welcome!
Arakawa, Kensuke +2 more
openaire +2 more sources
Matriarch: A Python Library for Materials Architecture. [PDF]
ACS Biomater Sci Eng, 2015 Giesa T +3 more
europepmc +1 more source
Rota-Baxter operators and post-Lie algebra structures on semisimple Lie algebras. [PDF]
Commun Algebra, 2019 Burde D, Gubarev V.
europepmc +1 more source
This is a survey on recent progress in algebraic deformation theory and the application of algebraic operads to its study. We review the classical homotopical tools in the theory of algebraic operads, namely Koszul duality. We give concrete examples of applications of such tools to various flavours of problems related to deformations of algebraic ...
Campos, Ricardo, Grataloup, Albin
openaire +2 more sources