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627:, it seems to make sense to have an article on the notion of “operad” instead of an article about the theory surrounding it. I understand that an operad is a sort of like a theory of an algebraic structure (e.g., it can be a set of operations); it captures various notions like associative algebra (in the usual sense) or Lie algebras and other “algebraic” objects such as
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in topology (the loop space should be an “algebra” but in a tricky way: it is an algebra over/for a particular operad). So, it is the notion of an algebraic notion but the notion of “operad” is something that exists and is notable: has been introduced by May (following the predecessors) and has been
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you can see that the expressions "θo(θ,1)" and "θo(1,θ)" are not converted to the line art images (last two images of the Axiom of associativity -section). Specifically the "o"-operator is missing from the line art images. Also I don't understand what the user is trying to tell with the
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Looking what May wrote in his article, he uses some abuse of notation as well. He just mentions that t acts on P(k_1+...+k_n) by shuffling indices, i.e. P(k_t(1)+...+k_t(n)). It may be worth it to mention that explicitly in the article.HSNie 15:43, 17 June 2013 (UTC)
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I'm confused. Are you saying that
Zinbiel is a pseudonym of Loday? Also, publication of this in a peer reviewed source is a necessary but not a sufficient condition for inclusion. (Though I haven't formulated an opinion one way or the other.)
381:: this is not my area of mathematics, but MathSciNet has 19 publications in which the title or review include the word "Zinbiel", by a variety of authors in several languages, dating to 2002. It looks completely legitimate to me. --
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I agree that something is wrong. Since t is already acting both on theta and on the ordering of its inputs, perhaps the t on the right hand side should be removed entirely.
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Yes, its clearly wrong. I can't figure out what the correct notation for this would be, given the current article; there'd have to be an 'abuse of notation' to fix this.
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The first line under equivariance must be a typo? t is in S_n while the on the right hand side of the equation it is acting on something in P(k_1+k_2+...+k_n).
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Since the arXiv article was uploaded by Loday (who also seems to have come up with the name "Zinbiel"), this seems likely. To repeat what I just wrote at
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People talk about "operads" much more than they do "operad theory"; the current article title is not the standard name for this subject.
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Subsequent comments should be made in a new section on the talk page. Editors desiring to contest the closing decision should consider a
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Can someone please draw little boxes operads, so that the examples in this section may be rewritten in a chronological order?
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Could the anonymous user who enters this sentence provide some indication as to _where_ the claim can be substantiated?
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after discussing it on the closer's talk page. No further edits should be made to this section.
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I made an attempt at describing how "t" acts on the right hand side, as well as linked to the
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Is the picture given correct? It seems the discs for 2 and 3 are mixed up. Any thoughts? --
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In that case, I'm satisfied. I hadn't noticed that the paper was submitted by Loday.
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the article with that name. (I also don’t know why “operad theory” is preferable.) —-
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Zinbiel, Guillaume W. (2011). "Encyclopedia of types of algebras 2010".
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in reverse and transposed into French. Something seems wrong here.
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See general agreement below to rename this article as requested.
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