Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313679664> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W4313679664 abstract "Let $H$ be a pointed Hopf algebra with abelian coradical. Let $Asupseteq B$ be left (or right) coideal subalgebras of $H$ that contain the coradical of $H$. We show that $A$ has a PBW basis over $B$, provided that $H$ satisfies certain mild conditions. In the case that $H$ is a connected graded Hopf algebra of characteristic zero and $A$ and $B$ are both homogeneous of finite Gelfand-Kirillov dimension, we show that $A$ is a graded iterated Ore extension of $B$. These results turn out to be conceptual consequences of a structure theorem for each pair $Ssupseteq T$ of homogenoeus coideal subalgebras of a connected graded braided bialgebra $R$ with braiding satisfying certain mild conditions. The structure theorem claims the existence of a well-behaved PBW basis of $S$ over $T$. The approach to the structure theorem is constructive by means of a combinatorial method based on Lyndon words and braided commutators, which is originally developed by V. K. Kharchenko for primitively generated braided Hopf algebras of diagonal type. Since in our context we don't priorilly assume $R$ to be primitively generated, new methods and ideas are introduced to handle the corresponding difficulties, among others." @default.
- W4313679664 created "2023-01-08" @default.
- W4313679664 creator A5064611315 @default.
- W4313679664 date "2023-01-05" @default.
- W4313679664 modified "2023-09-30" @default.
- W4313679664 title "Coideal subalgebras of pointed and connected Hopf algebras" @default.
- W4313679664 doi "https://doi.org/10.48550/arxiv.2301.02139" @default.
- W4313679664 hasPublicationYear "2023" @default.
- W4313679664 type Work @default.
- W4313679664 citedByCount "0" @default.
- W4313679664 crossrefType "posted-content" @default.
- W4313679664 hasAuthorship W4313679664A5064611315 @default.
- W4313679664 hasBestOaLocation W43136796641 @default.
- W4313679664 hasConcept C111919701 @default.
- W4313679664 hasConcept C12426560 @default.
- W4313679664 hasConcept C130367717 @default.
- W4313679664 hasConcept C130856480 @default.
- W4313679664 hasConcept C134306372 @default.
- W4313679664 hasConcept C136119220 @default.
- W4313679664 hasConcept C136170076 @default.
- W4313679664 hasConcept C138354692 @default.
- W4313679664 hasConcept C140479938 @default.
- W4313679664 hasConcept C151730666 @default.
- W4313679664 hasConcept C169171071 @default.
- W4313679664 hasConcept C202444582 @default.
- W4313679664 hasConcept C2524010 @default.
- W4313679664 hasConcept C2778676360 @default.
- W4313679664 hasConcept C2778701210 @default.
- W4313679664 hasConcept C2779343474 @default.
- W4313679664 hasConcept C29712632 @default.
- W4313679664 hasConcept C33923547 @default.
- W4313679664 hasConcept C41008148 @default.
- W4313679664 hasConcept C86803240 @default.
- W4313679664 hasConcept C98045186 @default.
- W4313679664 hasConceptScore W4313679664C111919701 @default.
- W4313679664 hasConceptScore W4313679664C12426560 @default.
- W4313679664 hasConceptScore W4313679664C130367717 @default.
- W4313679664 hasConceptScore W4313679664C130856480 @default.
- W4313679664 hasConceptScore W4313679664C134306372 @default.
- W4313679664 hasConceptScore W4313679664C136119220 @default.
- W4313679664 hasConceptScore W4313679664C136170076 @default.
- W4313679664 hasConceptScore W4313679664C138354692 @default.
- W4313679664 hasConceptScore W4313679664C140479938 @default.
- W4313679664 hasConceptScore W4313679664C151730666 @default.
- W4313679664 hasConceptScore W4313679664C169171071 @default.
- W4313679664 hasConceptScore W4313679664C202444582 @default.
- W4313679664 hasConceptScore W4313679664C2524010 @default.
- W4313679664 hasConceptScore W4313679664C2778676360 @default.
- W4313679664 hasConceptScore W4313679664C2778701210 @default.
- W4313679664 hasConceptScore W4313679664C2779343474 @default.
- W4313679664 hasConceptScore W4313679664C29712632 @default.
- W4313679664 hasConceptScore W4313679664C33923547 @default.
- W4313679664 hasConceptScore W4313679664C41008148 @default.
- W4313679664 hasConceptScore W4313679664C86803240 @default.
- W4313679664 hasConceptScore W4313679664C98045186 @default.
- W4313679664 hasLocation W43136796641 @default.
- W4313679664 hasOpenAccess W4313679664 @default.
- W4313679664 hasPrimaryLocation W43136796641 @default.
- W4313679664 hasRelatedWork W1483295413 @default.
- W4313679664 hasRelatedWork W1976435324 @default.
- W4313679664 hasRelatedWork W2009553386 @default.
- W4313679664 hasRelatedWork W2053636008 @default.
- W4313679664 hasRelatedWork W2109201800 @default.
- W4313679664 hasRelatedWork W2183008699 @default.
- W4313679664 hasRelatedWork W2364172277 @default.
- W4313679664 hasRelatedWork W3082737121 @default.
- W4313679664 hasRelatedWork W4256710784 @default.
- W4313679664 hasRelatedWork W4297939265 @default.
- W4313679664 isParatext "false" @default.
- W4313679664 isRetracted "false" @default.
- W4313679664 workType "article" @default.