Matches in SemOpenAlex for { <https://semopenalex.org/work/W3049383012> ?p ?o ?g. }
Showing items 1 to 86 of
86
with 100 items per page.
- W3049383012 abstract "Let $alpha$ be a composition of $n$ and $sigma$ a permutation in $mathfrak{S}_{ell(alpha)}$. This paper concerns the projective covers of $H_n(0)$-modules $mathcal{V}_alpha$, $X_alpha$ and $mathbf{S}^sigma_{alpha}$, which categorify the dual immaculate quasisymmetric function, the extended Schur function, and the quasisymmetric Schur function when $sigma$ is the identity, respectively. First, we show that the projective cover of $mathcal{V}_alpha$ is the projective indecomposable module $mathbf{P}_alpha$ due to Norton, and $X_alpha$ and the $phi$-twist of the canonical submodule $mathbf{S}^{sigma}_{beta,C}$ of $mathbf{S}^sigma_{beta}$ for $(beta,sigma)$'s satisfying suitable conditions appear as $H_n(0)$-homomorphic images of $mathcal{V}_alpha$. Second, we introduce a combinatorial model for the $phi$-twist of $mathbf{S}^sigma_{alpha}$ and derive a series of surjections starting from $mathbf{P}_alpha$ to the $phi$-twist of $mathbf{S}^{mathrm{id}}_{alpha,C}$. Finally, we construct the projective cover of every indecomposable direct summand $mathbf{S}^sigma_{alpha, E}$ of $mathbf{S}^sigma_{alpha}$. As a byproduct, we give a characterization of triples $(sigma, alpha, E)$ such that the projective cover of $mathbf{S}^sigma_{alpha, E}$ is indecomposable." @default.
- W3049383012 created "2020-08-21" @default.
- W3049383012 creator A5002260007 @default.
- W3049383012 creator A5034341726 @default.
- W3049383012 creator A5056207302 @default.
- W3049383012 creator A5056562445 @default.
- W3049383012 date "2020-08-16" @default.
- W3049383012 modified "2023-09-27" @default.
- W3049383012 title "The projective cover of tableau-cyclic indecomposable $H_n(0)$-modules" @default.
- W3049383012 cites W131742520 @default.
- W3049383012 cites W1659648688 @default.
- W3049383012 cites W1751453833 @default.
- W3049383012 cites W1956695937 @default.
- W3049383012 cites W1974746744 @default.
- W3049383012 cites W2007566117 @default.
- W3049383012 cites W2035370987 @default.
- W3049383012 cites W2089499170 @default.
- W3049383012 cites W2093890854 @default.
- W3049383012 cites W2098877061 @default.
- W3049383012 cites W2574081884 @default.
- W3049383012 cites W2886124632 @default.
- W3049383012 cites W2963236291 @default.
- W3049383012 cites W2964311535 @default.
- W3049383012 cites W2982704685 @default.
- W3049383012 cites W3013312351 @default.
- W3049383012 cites W3103277870 @default.
- W3049383012 cites W3104993986 @default.
- W3049383012 cites W2980173724 @default.
- W3049383012 hasPublicationYear "2020" @default.
- W3049383012 type Work @default.
- W3049383012 sameAs 3049383012 @default.
- W3049383012 citedByCount "0" @default.
- W3049383012 crossrefType "posted-content" @default.
- W3049383012 hasAuthorship W3049383012A5002260007 @default.
- W3049383012 hasAuthorship W3049383012A5034341726 @default.
- W3049383012 hasAuthorship W3049383012A5056207302 @default.
- W3049383012 hasAuthorship W3049383012A5056562445 @default.
- W3049383012 hasConcept C114614502 @default.
- W3049383012 hasConcept C121332964 @default.
- W3049383012 hasConcept C127413603 @default.
- W3049383012 hasConcept C157480366 @default.
- W3049383012 hasConcept C2524010 @default.
- W3049383012 hasConcept C2776196297 @default.
- W3049383012 hasConcept C2778049214 @default.
- W3049383012 hasConcept C2780428219 @default.
- W3049383012 hasConcept C33923547 @default.
- W3049383012 hasConcept C62520636 @default.
- W3049383012 hasConcept C78519656 @default.
- W3049383012 hasConceptScore W3049383012C114614502 @default.
- W3049383012 hasConceptScore W3049383012C121332964 @default.
- W3049383012 hasConceptScore W3049383012C127413603 @default.
- W3049383012 hasConceptScore W3049383012C157480366 @default.
- W3049383012 hasConceptScore W3049383012C2524010 @default.
- W3049383012 hasConceptScore W3049383012C2776196297 @default.
- W3049383012 hasConceptScore W3049383012C2778049214 @default.
- W3049383012 hasConceptScore W3049383012C2780428219 @default.
- W3049383012 hasConceptScore W3049383012C33923547 @default.
- W3049383012 hasConceptScore W3049383012C62520636 @default.
- W3049383012 hasConceptScore W3049383012C78519656 @default.
- W3049383012 hasLocation W30493830121 @default.
- W3049383012 hasOpenAccess W3049383012 @default.
- W3049383012 hasPrimaryLocation W30493830121 @default.
- W3049383012 hasRelatedWork W1500562325 @default.
- W3049383012 hasRelatedWork W1938728778 @default.
- W3049383012 hasRelatedWork W2055767691 @default.
- W3049383012 hasRelatedWork W2061985415 @default.
- W3049383012 hasRelatedWork W2117520980 @default.
- W3049383012 hasRelatedWork W2255958584 @default.
- W3049383012 hasRelatedWork W2414257641 @default.
- W3049383012 hasRelatedWork W2584153505 @default.
- W3049383012 hasRelatedWork W2611365983 @default.
- W3049383012 hasRelatedWork W2894230823 @default.
- W3049383012 hasRelatedWork W2908295702 @default.
- W3049383012 hasRelatedWork W2949151233 @default.
- W3049383012 hasRelatedWork W2952724837 @default.
- W3049383012 hasRelatedWork W2952946003 @default.
- W3049383012 hasRelatedWork W2990224752 @default.
- W3049383012 hasRelatedWork W3098749090 @default.
- W3049383012 hasRelatedWork W3101673120 @default.
- W3049383012 hasRelatedWork W3199716165 @default.
- W3049383012 hasRelatedWork W3199942122 @default.
- W3049383012 hasRelatedWork W73018831 @default.
- W3049383012 isParatext "false" @default.
- W3049383012 isRetracted "false" @default.
- W3049383012 magId "3049383012" @default.
- W3049383012 workType "article" @default.