Self-dual binary quadratic operads
Pavel Kolesnikov
TL;DR
This paper characterizes self-dual binary quadratic operads generated by a two-dimensional space, identifying conditions under which they are isomorphic to their Koszul duals.
Contribution
It provides a classification of such operads, revealing the structure of self-duality in low-dimensional binary quadratic operads.
Findings
Identification of conditions for self-duality
Classification of two-dimensional generated operads
Insights into Koszul duality in operads
Abstract
We describe those binary quadratic operads generated by a two-dimensional space that are isomorphic to their Koszul dual operads.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology