Matches in SemOpenAlex for { <https://semopenalex.org/work/W3018466623> ?p ?o ?g. }
- W3018466623 endingPage "284" @default.
- W3018466623 startingPage "259" @default.
- W3018466623 abstract "The Yang–Baxter and pentagon equations are two well-known equations of Mathematical Physic. If S is a set, a map $$s:Stimes Srightarrow Stimes S$$ is said to be a set-theoretical solution of the quantum Yang–Baxter equation if $$begin{aligned} s_{23}, s_{13}, s_{12} = s_{12}, s_{13}, s_{23}, end{aligned}$$ where $$s_{12}=stimes {{,mathrm{id},}}_S$$ , $$s_{23}={{,mathrm{id},}}_Stimes s$$ , and $$s_{13}=({{,mathrm{id},}}_Stimes tau ),s_{12},({{,mathrm{id},}}_Stimes tau )$$ and $$tau $$ is the flip map, i.e., the map on $$Stimes S$$ given by $$tau (x,y)=(y,x)$$ . Instead, s is called a set-theoretical solution of the pentagon equation if $$begin{aligned} s_{23}, s_{13}, s_{12}=s_{12}, s_{23}. end{aligned}$$ The main aim of this work is to display how solutions of the pentagon equation turn out to be a useful tool to obtain new solutions of the Yang–Baxter equation. Specifically, we present a new construction of solutions of the Yang–Baxter equation involving two specific solutions of the pentagon equation. To this end, we provide a method to obtain solutions of the pentagon equation on the matched product of two semigroups, that is a semigroup including the classical Zappa product." @default.
- W3018466623 created "2020-05-01" @default.
- W3018466623 creator A5025640555 @default.
- W3018466623 creator A5068668696 @default.
- W3018466623 creator A5088569368 @default.
- W3018466623 date "2020-04-21" @default.
- W3018466623 modified "2023-10-14" @default.
- W3018466623 title "Set-theoretical solutions of the Yang–Baxter and pentagon equations on semigroups" @default.
- W3018466623 cites W175896080 @default.
- W3018466623 cites W1965137595 @default.
- W3018466623 cites W1965612022 @default.
- W3018466623 cites W1985885288 @default.
- W3018466623 cites W1995969674 @default.
- W3018466623 cites W2007152098 @default.
- W3018466623 cites W2018834255 @default.
- W3018466623 cites W2025588211 @default.
- W3018466623 cites W2031690398 @default.
- W3018466623 cites W2090149729 @default.
- W3018466623 cites W2118905382 @default.
- W3018466623 cites W2302011925 @default.
- W3018466623 cites W2314113191 @default.
- W3018466623 cites W2424997766 @default.
- W3018466623 cites W245683260 @default.
- W3018466623 cites W2480872961 @default.
- W3018466623 cites W2604561628 @default.
- W3018466623 cites W2606599669 @default.
- W3018466623 cites W2615614236 @default.
- W3018466623 cites W2736245324 @default.
- W3018466623 cites W2902679198 @default.
- W3018466623 cites W2913503405 @default.
- W3018466623 cites W2954884496 @default.
- W3018466623 cites W2963154383 @default.
- W3018466623 cites W2963345821 @default.
- W3018466623 cites W2963759644 @default.
- W3018466623 cites W2963945370 @default.
- W3018466623 cites W2979717716 @default.
- W3018466623 cites W3008140813 @default.
- W3018466623 cites W3101270604 @default.
- W3018466623 cites W3188230781 @default.
- W3018466623 cites W3188862200 @default.
- W3018466623 cites W4230770530 @default.
- W3018466623 doi "https://doi.org/10.1007/s00233-020-10100-x" @default.
- W3018466623 hasPublicationYear "2020" @default.
- W3018466623 type Work @default.
- W3018466623 sameAs 3018466623 @default.
- W3018466623 citedByCount "8" @default.
- W3018466623 countsByYear W30184666232020 @default.
- W3018466623 countsByYear W30184666232021 @default.
- W3018466623 countsByYear W30184666232022 @default.
- W3018466623 countsByYear W30184666232023 @default.
- W3018466623 crossrefType "journal-article" @default.
- W3018466623 hasAuthorship W3018466623A5025640555 @default.
- W3018466623 hasAuthorship W3018466623A5068668696 @default.
- W3018466623 hasAuthorship W3018466623A5088569368 @default.
- W3018466623 hasBestOaLocation W30184666232 @default.
- W3018466623 hasConcept C114614502 @default.
- W3018466623 hasConcept C121332964 @default.
- W3018466623 hasConcept C177264268 @default.
- W3018466623 hasConcept C177858542 @default.
- W3018466623 hasConcept C199360897 @default.
- W3018466623 hasConcept C2524010 @default.
- W3018466623 hasConcept C2779965921 @default.
- W3018466623 hasConcept C33923547 @default.
- W3018466623 hasConcept C37914503 @default.
- W3018466623 hasConcept C41008148 @default.
- W3018466623 hasConcept C62520636 @default.
- W3018466623 hasConcept C84114770 @default.
- W3018466623 hasConcept C90673727 @default.
- W3018466623 hasConceptScore W3018466623C114614502 @default.
- W3018466623 hasConceptScore W3018466623C121332964 @default.
- W3018466623 hasConceptScore W3018466623C177264268 @default.
- W3018466623 hasConceptScore W3018466623C177858542 @default.
- W3018466623 hasConceptScore W3018466623C199360897 @default.
- W3018466623 hasConceptScore W3018466623C2524010 @default.
- W3018466623 hasConceptScore W3018466623C2779965921 @default.
- W3018466623 hasConceptScore W3018466623C33923547 @default.
- W3018466623 hasConceptScore W3018466623C37914503 @default.
- W3018466623 hasConceptScore W3018466623C41008148 @default.
- W3018466623 hasConceptScore W3018466623C62520636 @default.
- W3018466623 hasConceptScore W3018466623C84114770 @default.
- W3018466623 hasConceptScore W3018466623C90673727 @default.
- W3018466623 hasIssue "2" @default.
- W3018466623 hasLocation W30184666231 @default.
- W3018466623 hasLocation W30184666232 @default.
- W3018466623 hasOpenAccess W3018466623 @default.
- W3018466623 hasPrimaryLocation W30184666231 @default.
- W3018466623 hasRelatedWork W1977422037 @default.
- W3018466623 hasRelatedWork W1983320628 @default.
- W3018466623 hasRelatedWork W2090965065 @default.
- W3018466623 hasRelatedWork W2095029243 @default.
- W3018466623 hasRelatedWork W2334036188 @default.
- W3018466623 hasRelatedWork W2524709719 @default.
- W3018466623 hasRelatedWork W2898265709 @default.
- W3018466623 hasRelatedWork W4297810704 @default.
- W3018466623 hasRelatedWork W4300562007 @default.
- W3018466623 hasRelatedWork W564118940 @default.
- W3018466623 hasVolume "101" @default.
- W3018466623 isParatext "false" @default.