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- Operad_theory abstract "Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra. Algebras are to operads as group representations are to groups. Originating from work in algebraic topology by Boardman and Vogt, and J. Peter May, it has more recently found many applications, drawing for example on work by Maxim Kontsevich on graph homology.An operad can be seen as a set of operations, each one having a fixed finite number of inputs (arguments) and one output, which can be composed one with others; it is a category-theoretic analog of universal algebra.The word \"operad\" was also created by May as a portmanteau of \"operations\" and \"monad\" (and also because his mother was an opera singer). Regarding its creation, he wrote: \"The name 'operad' is a word that I coined myself, spending a week thinking of nothing else.\"".
- Operad_theory wikiPageExternalLink bookstore?fn=20&arg1=survseries&item=SURV-96.
- Operad_theory wikiPageExternalLink what-is.pdf.
- Operad_theory wikiPageExternalLink BOOKSMaster.html.
- Operad_theory wikiPageExternalLink book.html.
- Operad_theory wikiPageExternalLink 1101.0267.
- Operad_theory wikiPageExternalLink OperadHomotopyBook.
- Operad_theory wikiPageExternalLink LodayVallette.pdf.
- Operad_theory wikiPageExternalLink 8222.html.
- Operad_theory wikiPageID "3126358".
- Operad_theory wikiPageLength "17199".
- Operad_theory wikiPageOutDegree "64".
- Operad_theory wikiPageRevisionID "700595827".
- Operad_theory wikiPageWikiLink Abstract_algebra.
- Operad_theory wikiPageWikiLink Affine_combination.
- Operad_theory wikiPageWikiLink Algebra_over_a_field.
- Operad_theory wikiPageWikiLink Algebra_over_an_operad.
- Operad_theory wikiPageWikiLink Algebraic_topology.
- Operad_theory wikiPageWikiLink Anticommutativity.
- Operad_theory wikiPageWikiLink Associative_property.
- Operad_theory wikiPageWikiLink Axis-aligned_object.
- Operad_theory wikiPageWikiLink Braid_group.
- Operad_theory wikiPageWikiLink Category:Abstract_algebra.
- Operad_theory wikiPageWikiLink Category:Category_theory.
- Operad_theory wikiPageWikiLink Category_theory.
- Operad_theory wikiPageWikiLink Coalgebra.
- Operad_theory wikiPageWikiLink Commutative_property.
- Operad_theory wikiPageWikiLink Conical_combination.
- Operad_theory wikiPageWikiLink Convex_combination.
- Operad_theory wikiPageWikiLink Convex_polytope.
- Operad_theory wikiPageWikiLink Direct_sum_of_modules.
- Operad_theory wikiPageWikiLink Disk_(mathematics).
- Operad_theory wikiPageWikiLink Expression_(mathematics).
- Operad_theory wikiPageWikiLink File:Composition_in_the_little_discs_operad.svg.
- Operad_theory wikiPageWikiLink Generator_(mathematics).
- Operad_theory wikiPageWikiLink Graph_homology.
- Operad_theory wikiPageWikiLink Group_(mathematics).
- Operad_theory wikiPageWikiLink Group_representation.
- Operad_theory wikiPageWikiLink Hypercube.
- Operad_theory wikiPageWikiLink Initial_and_terminal_objects.
- Operad_theory wikiPageWikiLink Interval_(mathematics).
- Operad_theory wikiPageWikiLink J._Peter_May.
- Operad_theory wikiPageWikiLink Jean-Louis_Loday.
- Operad_theory wikiPageWikiLink Jim_Stasheff.
- Operad_theory wikiPageWikiLink Lie_algebra.
- Operad_theory wikiPageWikiLink Linear_algebra.
- Operad_theory wikiPageWikiLink Linear_combination.
- Operad_theory wikiPageWikiLink Maxim_Kontsevich.
- Operad_theory wikiPageWikiLink Michael_Boardman.
- Operad_theory wikiPageWikiLink Monad_(category_theory).
- Operad_theory wikiPageWikiLink Multicategory.
- Operad_theory wikiPageWikiLink Notices_of_the_American_Mathematical_Society.
- Operad_theory wikiPageWikiLink Operation_(mathematics).
- Operad_theory wikiPageWikiLink Origin_(mathematics).
- Operad_theory wikiPageWikiLink PRO_(category_theory).
- Operad_theory wikiPageWikiLink Poisson_algebra.
- Operad_theory wikiPageWikiLink Portable_Document_Format.
- Operad_theory wikiPageWikiLink Rainer_Vogt.
- Operad_theory wikiPageWikiLink Springer_Science+Business_Media.
- Operad_theory wikiPageWikiLink Steve_Shnider.
- Operad_theory wikiPageWikiLink Symmetric_group.
- Operad_theory wikiPageWikiLink Unit_cube.
- Operad_theory wikiPageWikiLink Universal_algebra.
- Operad_theory wikiPageWikiLink File:OperadIdentityAxiom.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose1.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose2.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose3.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose4.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose5.svg.
- Operad_theory wikiPageWikiLink File:OperadTreeCompose6.svg.
- Operad_theory wikiPageWikiLink File:Operadic_composition_in_the_operad_of_symmetries.svg.
- Operad_theory wikiPageWikiLinkText "Operad theory".
- Operad_theory wikiPageWikiLinkText "Operad theory#"Little something" operads".
- Operad_theory wikiPageWikiLinkText "Operad theory#Examples".
- Operad_theory wikiPageWikiLinkText "associative operad".
- Operad_theory wikiPageWikiLinkText "little interval operad".
- Operad_theory wikiPageWikiLinkText "operad of '''little ''n''-cubes''' or '''little ''n''-disks'''".
- Operad_theory wikiPageWikiLinkText "operad theory".
- Operad_theory wikiPageWikiLinkText "operads".
- Operad_theory wikiPageUsesTemplate Template:Citation.
- Operad_theory wikiPageUsesTemplate Template:Cite_arxiv.
- Operad_theory wikiPageUsesTemplate Template:Cite_book.
- Operad_theory wikiPageUsesTemplate Template:Cite_journal.
- Operad_theory wikiPageUsesTemplate Template:Clear.
- Operad_theory wikiPageUsesTemplate Template:Reflist.
- Operad_theory wikiPageUsesTemplate Template:Use_dmy_dates.
- Operad_theory subject Category:Abstract_algebra.
- Operad_theory subject Category:Category_theory.
- Operad_theory hypernym Field.
- Operad_theory type Function.
- Operad_theory comment "Operad theory is a field of abstract algebra concerned with prototypical algebras that model properties such as commutativity or anticommutativity as well as various amounts of associativity. Operads generalize the various associativity properties already observed in algebras and coalgebras such as Lie algebras or Poisson algebras by modeling computational trees within the algebra. Algebras are to operads as group representations are to groups.".
- Operad_theory label "Operad theory".
- Operad_theory sameAs Q842072.
- Operad_theory sameAs Opérade.
- Operad_theory sameAs 오퍼라드.
- Operad_theory sameAs m.08t47y.
- Operad_theory sameAs Операда.
- Operad_theory sameAs Q842072.
- Operad_theory wasDerivedFrom Operad_theory?oldid=700595827.
- Operad_theory isPrimaryTopicOf Operad_theory.