Matches in SemOpenAlex for { <https://semopenalex.org/work/W4300694591> ?p ?o ?g. }
Showing items 1 to 57 of
57
with 100 items per page.
- W4300694591 abstract "Let $g$ be a simple Lie algebra and $Ab$ the poset of non-trivial abelian ideals of a fixed Borel subalgebra of $g$. In 2003 (IMRN, no.35, 1889--1913), we constructed a partition of $Ab$ into the subposets $Ab_mu$, parameterised by the long positive roots of $g$, and established some properties of these subposets. In this note, we show that this partition is compatible with intersections, relate it to the Kostant-Peterson parameterisation of abelian ideals and to the centralisers of abelian ideals. We also prove that the poset of positive roots of $g$ is a join-semilattice." @default.
- W4300694591 created "2022-10-04" @default.
- W4300694591 creator A5059334014 @default.
- W4300694591 date "2012-05-27" @default.
- W4300694591 modified "2023-10-18" @default.
- W4300694591 title "Abelian ideals of a Borel subalgebra and root systems" @default.
- W4300694591 doi "https://doi.org/10.48550/arxiv.1205.5983" @default.
- W4300694591 hasPublicationYear "2012" @default.
- W4300694591 type Work @default.
- W4300694591 citedByCount "0" @default.
- W4300694591 crossrefType "posted-content" @default.
- W4300694591 hasAuthorship W4300694591A5059334014 @default.
- W4300694591 hasBestOaLocation W43006945911 @default.
- W4300694591 hasConcept C114614502 @default.
- W4300694591 hasConcept C118615104 @default.
- W4300694591 hasConcept C118712358 @default.
- W4300694591 hasConcept C132170107 @default.
- W4300694591 hasConcept C136119220 @default.
- W4300694591 hasConcept C136170076 @default.
- W4300694591 hasConcept C180645754 @default.
- W4300694591 hasConcept C202444582 @default.
- W4300694591 hasConcept C207405024 @default.
- W4300694591 hasConcept C33923547 @default.
- W4300694591 hasConcept C42812 @default.
- W4300694591 hasConcept C67996461 @default.
- W4300694591 hasConcept C81008192 @default.
- W4300694591 hasConceptScore W4300694591C114614502 @default.
- W4300694591 hasConceptScore W4300694591C118615104 @default.
- W4300694591 hasConceptScore W4300694591C118712358 @default.
- W4300694591 hasConceptScore W4300694591C132170107 @default.
- W4300694591 hasConceptScore W4300694591C136119220 @default.
- W4300694591 hasConceptScore W4300694591C136170076 @default.
- W4300694591 hasConceptScore W4300694591C180645754 @default.
- W4300694591 hasConceptScore W4300694591C202444582 @default.
- W4300694591 hasConceptScore W4300694591C207405024 @default.
- W4300694591 hasConceptScore W4300694591C33923547 @default.
- W4300694591 hasConceptScore W4300694591C42812 @default.
- W4300694591 hasConceptScore W4300694591C67996461 @default.
- W4300694591 hasConceptScore W4300694591C81008192 @default.
- W4300694591 hasLocation W43006945911 @default.
- W4300694591 hasLocation W43006945912 @default.
- W4300694591 hasLocation W43006945913 @default.
- W4300694591 hasOpenAccess W4300694591 @default.
- W4300694591 hasPrimaryLocation W43006945911 @default.
- W4300694591 hasRelatedWork W1573829572 @default.
- W4300694591 hasRelatedWork W1964720090 @default.
- W4300694591 hasRelatedWork W1970345540 @default.
- W4300694591 hasRelatedWork W2018852123 @default.
- W4300694591 hasRelatedWork W2393810348 @default.
- W4300694591 hasRelatedWork W2950492933 @default.
- W4300694591 hasRelatedWork W3217358988 @default.
- W4300694591 hasRelatedWork W4232374233 @default.
- W4300694591 hasRelatedWork W4300694591 @default.
- W4300694591 hasRelatedWork W83629173 @default.
- W4300694591 isParatext "false" @default.
- W4300694591 isRetracted "false" @default.
- W4300694591 workType "article" @default.