Matches in SemOpenAlex for { <https://semopenalex.org/work/W4377989600> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4377989600 endingPage "280" @default.
- W4377989600 startingPage "251" @default.
- W4377989600 abstract "We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on $n$ letters, defined on the set of all injective words, that is, the words with at most one occurrence of each letter. This monoid carries the action of the symmetric group. The second monoid is one of its $q$-analogues, considered by K. Brown, carrying an action of the finite general linear group. In both cases, we show that the invariant subalgebras are semisimple commutative algebras, and characterize them using Stirling and $q$-Stirling numbers. We then use results from the theory of random walks and random-to-top shuffling to decompose the entire monoid algebra into irreducibles, simultaneously as a module over the invariant ring and as a group representation. Our irreducible decompositions are described in terms of derangement symmetric functions introduced by D'esarm'enien and Wachs." @default.
- W4377989600 created "2023-05-25" @default.
- W4377989600 creator A5009173643 @default.
- W4377989600 creator A5048380287 @default.
- W4377989600 creator A5063094743 @default.
- W4377989600 date "2023-05-23" @default.
- W4377989600 modified "2023-09-27" @default.
- W4377989600 title "Invariant theory for the free left-regular band and a q-analogue" @default.
- W4377989600 cites W1470396398 @default.
- W4377989600 cites W1551177513 @default.
- W4377989600 cites W1985965909 @default.
- W4377989600 cites W1987721903 @default.
- W4377989600 cites W2035311837 @default.
- W4377989600 cites W2047602652 @default.
- W4377989600 cites W2057968941 @default.
- W4377989600 cites W2065351774 @default.
- W4377989600 cites W2086197284 @default.
- W4377989600 cites W2120930689 @default.
- W4377989600 cites W2160890794 @default.
- W4377989600 cites W2312858861 @default.
- W4377989600 cites W2492880023 @default.
- W4377989600 cites W2559978174 @default.
- W4377989600 cites W2788864678 @default.
- W4377989600 cites W2962995814 @default.
- W4377989600 cites W2964326904 @default.
- W4377989600 cites W2997541814 @default.
- W4377989600 cites W4246146743 @default.
- W4377989600 cites W4246938702 @default.
- W4377989600 cites W4252162888 @default.
- W4377989600 cites W4252895507 @default.
- W4377989600 cites W4253870526 @default.
- W4377989600 doi "https://doi.org/10.2140/pjm.2023.322.251" @default.
- W4377989600 hasPublicationYear "2023" @default.
- W4377989600 type Work @default.
- W4377989600 citedByCount "1" @default.
- W4377989600 countsByYear W43779896002023 @default.
- W4377989600 crossrefType "journal-article" @default.
- W4377989600 hasAuthorship W4377989600A5009173643 @default.
- W4377989600 hasAuthorship W4377989600A5048380287 @default.
- W4377989600 hasAuthorship W4377989600A5063094743 @default.
- W4377989600 hasBestOaLocation W43779896001 @default.
- W4377989600 hasConcept C114614502 @default.
- W4377989600 hasConcept C119903167 @default.
- W4377989600 hasConcept C128622974 @default.
- W4377989600 hasConcept C149685015 @default.
- W4377989600 hasConcept C171036898 @default.
- W4377989600 hasConcept C190470478 @default.
- W4377989600 hasConcept C197273675 @default.
- W4377989600 hasConcept C202444582 @default.
- W4377989600 hasConcept C206901836 @default.
- W4377989600 hasConcept C33923547 @default.
- W4377989600 hasConcept C37914503 @default.
- W4377989600 hasConceptScore W4377989600C114614502 @default.
- W4377989600 hasConceptScore W4377989600C119903167 @default.
- W4377989600 hasConceptScore W4377989600C128622974 @default.
- W4377989600 hasConceptScore W4377989600C149685015 @default.
- W4377989600 hasConceptScore W4377989600C171036898 @default.
- W4377989600 hasConceptScore W4377989600C190470478 @default.
- W4377989600 hasConceptScore W4377989600C197273675 @default.
- W4377989600 hasConceptScore W4377989600C202444582 @default.
- W4377989600 hasConceptScore W4377989600C206901836 @default.
- W4377989600 hasConceptScore W4377989600C33923547 @default.
- W4377989600 hasConceptScore W4377989600C37914503 @default.
- W4377989600 hasIssue "2" @default.
- W4377989600 hasLocation W43779896001 @default.
- W4377989600 hasLocation W43779896002 @default.
- W4377989600 hasLocation W43779896003 @default.
- W4377989600 hasOpenAccess W4377989600 @default.
- W4377989600 hasPrimaryLocation W43779896001 @default.
- W4377989600 hasRelatedWork W1697646622 @default.
- W4377989600 hasRelatedWork W2375932223 @default.
- W4377989600 hasRelatedWork W2952024169 @default.
- W4377989600 hasRelatedWork W3000103748 @default.
- W4377989600 hasRelatedWork W3143205136 @default.
- W4377989600 hasRelatedWork W3161268522 @default.
- W4377989600 hasRelatedWork W4283447342 @default.
- W4377989600 hasRelatedWork W4300122225 @default.
- W4377989600 hasRelatedWork W4377989600 @default.
- W4377989600 hasRelatedWork W51936586 @default.
- W4377989600 hasVolume "322" @default.
- W4377989600 isParatext "false" @default.
- W4377989600 isRetracted "false" @default.
- W4377989600 workType "article" @default.