On quadri-algebras
By Loïc Foissy. 2014
51 citations recorded by the source corpus.
We describe the Koszul dual of the operad Quad of quadri-algebras, show the koszularity of Quad and give the formal series of Quad and its dual, which proves a conjecture due to Aguiar and Loday. A notion of quadri-bialgebra is also introduced, with applications to the Hopf algebras FQSym and WQSym.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/971b93637094f5907fadcb62ccfca0669f8d3b65
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In Algebra and Number Theory
In Geometry and Topology
Citations in the corpus
- Generalized bialgebras and triples of operads (2006, background): “We define a linear map e : H → H by the formula: e = (Id− ω([2]))(Id− ω([3])) · · · (Id− ω) · · · .”