Matches in SemOpenAlex for { <https://semopenalex.org/work/W2962912143> ?p ?o ?g. }
Showing items 1 to 79 of
79
with 100 items per page.
- W2962912143 endingPage "667" @default.
- W2962912143 startingPage "637" @default.
- W2962912143 abstract "The classical Koszul braces, sometimes also called the Koszul hierarchy, were introduced in 1985 by Koszul (Asterisque, (Numero Hors Serie):257–271, 1985). Their non-commutative counterparts came as a surprise much later, in 2013, in a preprint by Borjeson ( $$A_infty $$ -algebras derived from associative algebras with a non-derivation differential, Preprint arXiv:1304.6231, 2013). In Part I we show that both braces are the twistings of the trivial $$L_infty $$ - (resp. $$A_infty $$ -) algebra by a specific automorphism of the underlying coalgebra. This gives an astonishingly simple proof of their properties. Using the twisting, we construct other surprising examples of $$A_infty $$ - and $$L_infty $$ -braces. We finish Part 1 by discussing $$C_infty $$ -braces related to Lie algebras. In Part 2 we prove that in fact all natural braces are the twistings by unique automorphisms. We also show that there is precisely one hierarchy of braces that leads to a sensible notion of higher-order derivations. Thus, the notion of higher-order derivations is independent of human choices. The results of the second part follow from the acyclicity of a certain space of natural operations." @default.
- W2962912143 created "2019-07-30" @default.
- W2962912143 creator A5072873700 @default.
- W2962912143 date "2014-05-01" @default.
- W2962912143 modified "2023-10-18" @default.
- W2962912143 title "On the origin of higher braces and higher-order derivations" @default.
- W2962912143 cites W1627460717 @default.
- W2962912143 cites W2003432593 @default.
- W2962912143 cites W2049083700 @default.
- W2962912143 cites W2055484081 @default.
- W2962912143 cites W2079772887 @default.
- W2962912143 cites W2085236223 @default.
- W2962912143 cites W2132840702 @default.
- W2962912143 cites W3104570135 @default.
- W2962912143 cites W4234135937 @default.
- W2962912143 doi "https://doi.org/10.1007/s40062-014-0079-2" @default.
- W2962912143 hasPublicationYear "2014" @default.
- W2962912143 type Work @default.
- W2962912143 sameAs 2962912143 @default.
- W2962912143 citedByCount "15" @default.
- W2962912143 countsByYear W29629121432015 @default.
- W2962912143 countsByYear W29629121432016 @default.
- W2962912143 countsByYear W29629121432017 @default.
- W2962912143 countsByYear W29629121432019 @default.
- W2962912143 countsByYear W29629121432020 @default.
- W2962912143 countsByYear W29629121432021 @default.
- W2962912143 countsByYear W29629121432022 @default.
- W2962912143 crossrefType "journal-article" @default.
- W2962912143 hasAuthorship W2962912143A5072873700 @default.
- W2962912143 hasBestOaLocation W29629121431 @default.
- W2962912143 hasConcept C10138342 @default.
- W2962912143 hasConcept C114614502 @default.
- W2962912143 hasConcept C136119220 @default.
- W2962912143 hasConcept C144133560 @default.
- W2962912143 hasConcept C145054310 @default.
- W2962912143 hasConcept C169654258 @default.
- W2962912143 hasConcept C182306322 @default.
- W2962912143 hasConcept C199343813 @default.
- W2962912143 hasConcept C202444582 @default.
- W2962912143 hasConcept C2777686260 @default.
- W2962912143 hasConcept C33923547 @default.
- W2962912143 hasConcept C5961521 @default.
- W2962912143 hasConcept C71924100 @default.
- W2962912143 hasConceptScore W2962912143C10138342 @default.
- W2962912143 hasConceptScore W2962912143C114614502 @default.
- W2962912143 hasConceptScore W2962912143C136119220 @default.
- W2962912143 hasConceptScore W2962912143C144133560 @default.
- W2962912143 hasConceptScore W2962912143C145054310 @default.
- W2962912143 hasConceptScore W2962912143C169654258 @default.
- W2962912143 hasConceptScore W2962912143C182306322 @default.
- W2962912143 hasConceptScore W2962912143C199343813 @default.
- W2962912143 hasConceptScore W2962912143C202444582 @default.
- W2962912143 hasConceptScore W2962912143C2777686260 @default.
- W2962912143 hasConceptScore W2962912143C33923547 @default.
- W2962912143 hasConceptScore W2962912143C5961521 @default.
- W2962912143 hasConceptScore W2962912143C71924100 @default.
- W2962912143 hasIssue "3" @default.
- W2962912143 hasLocation W29629121431 @default.
- W2962912143 hasLocation W29629121432 @default.
- W2962912143 hasLocation W29629121433 @default.
- W2962912143 hasOpenAccess W2962912143 @default.
- W2962912143 hasPrimaryLocation W29629121431 @default.
- W2962912143 hasRelatedWork W1978042415 @default.
- W2962912143 hasRelatedWork W1989920940 @default.
- W2962912143 hasRelatedWork W2017331178 @default.
- W2962912143 hasRelatedWork W2025337598 @default.
- W2962912143 hasRelatedWork W2260035625 @default.
- W2962912143 hasRelatedWork W2547594039 @default.
- W2962912143 hasRelatedWork W2660193805 @default.
- W2962912143 hasRelatedWork W2976797620 @default.
- W2962912143 hasRelatedWork W3086542228 @default.
- W2962912143 hasRelatedWork W4281671842 @default.
- W2962912143 hasVolume "10" @default.
- W2962912143 isParatext "false" @default.
- W2962912143 isRetracted "false" @default.
- W2962912143 magId "2962912143" @default.
- W2962912143 workType "article" @default.