Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963139903> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W2963139903 abstract "This paper uses the theory of dual equivalence graphs to give explicit Schur expansions for several families of symmetric functions. We begin by giving a combinatorial definition of the modified Macdonald polynomials and modified Hall-Littlewood polynomials indexed by any diagram $delta subset {mathbb Z} times {mathbb Z}$, written as $widetilde H_{delta}(X;q,t)$ and $widetilde H_{delta}(X;0,t)$, respectively. We then give an explicit Schur expansion of $widetilde H_{delta}(X;0,t)$ as a sum over a subset of the Yamanouchi words, as opposed to the expansion using the charge statistic given in 1978 by Lascoux and Schüztenberger. We further define the symmetric function $R_{gamma,delta}(X)$ as a refinement of $widetilde H_{delta}(X;0,t)$ and similarly describe its Schur expansion. We then analyze $R_{gamma,delta}(X)$ to determine the leading term of its Schur expansion. We also provide a conjecture towards the Schur expansion of $widetilde H_{delta}(X;q,t)$. To gain these results, we use a construction from the 2007 work of Sami Assaf to associate each Macdonald polynomial with a signed colored graph $mathcal{H}_delta$. In the case where a subgraph of $mathcal{H}_delta$ is a dual equivalence graph, we provide the Schur expansion of its associated symmetric function, yielding several corollaries." @default.
- W2963139903 created "2019-07-30" @default.
- W2963139903 creator A5035446987 @default.
- W2963139903 date "2017-03-31" @default.
- W2963139903 modified "2023-09-24" @default.
- W2963139903 title "On the Schur Expansion of Hall-Littlewood and Related Polynomials via Yamanouchi Words" @default.
- W2963139903 doi "https://doi.org/10.37236/6732" @default.
- W2963139903 hasPublicationYear "2017" @default.
- W2963139903 type Work @default.
- W2963139903 sameAs 2963139903 @default.
- W2963139903 citedByCount "1" @default.
- W2963139903 countsByYear W29631399032018 @default.
- W2963139903 crossrefType "journal-article" @default.
- W2963139903 hasAuthorship W2963139903A5035446987 @default.
- W2963139903 hasBestOaLocation W29631399031 @default.
- W2963139903 hasConcept C101044782 @default.
- W2963139903 hasConcept C10628310 @default.
- W2963139903 hasConcept C114614502 @default.
- W2963139903 hasConcept C118615104 @default.
- W2963139903 hasConcept C134306372 @default.
- W2963139903 hasConcept C146922319 @default.
- W2963139903 hasConcept C171686973 @default.
- W2963139903 hasConcept C2780990831 @default.
- W2963139903 hasConcept C33923547 @default.
- W2963139903 hasConcept C3746008 @default.
- W2963139903 hasConcept C52153879 @default.
- W2963139903 hasConcept C52537462 @default.
- W2963139903 hasConcept C90119067 @default.
- W2963139903 hasConceptScore W2963139903C101044782 @default.
- W2963139903 hasConceptScore W2963139903C10628310 @default.
- W2963139903 hasConceptScore W2963139903C114614502 @default.
- W2963139903 hasConceptScore W2963139903C118615104 @default.
- W2963139903 hasConceptScore W2963139903C134306372 @default.
- W2963139903 hasConceptScore W2963139903C146922319 @default.
- W2963139903 hasConceptScore W2963139903C171686973 @default.
- W2963139903 hasConceptScore W2963139903C2780990831 @default.
- W2963139903 hasConceptScore W2963139903C33923547 @default.
- W2963139903 hasConceptScore W2963139903C3746008 @default.
- W2963139903 hasConceptScore W2963139903C52153879 @default.
- W2963139903 hasConceptScore W2963139903C52537462 @default.
- W2963139903 hasConceptScore W2963139903C90119067 @default.
- W2963139903 hasLocation W29631399031 @default.
- W2963139903 hasLocation W29631399032 @default.
- W2963139903 hasOpenAccess W2963139903 @default.
- W2963139903 hasPrimaryLocation W29631399031 @default.
- W2963139903 hasRelatedWork W1949409532 @default.
- W2963139903 hasRelatedWork W1987649203 @default.
- W2963139903 hasRelatedWork W2009527237 @default.
- W2963139903 hasRelatedWork W2070716408 @default.
- W2963139903 hasRelatedWork W2116960419 @default.
- W2963139903 hasRelatedWork W2276720166 @default.
- W2963139903 hasRelatedWork W2340477014 @default.
- W2963139903 hasRelatedWork W2390088041 @default.
- W2963139903 hasRelatedWork W2620488426 @default.
- W2963139903 hasRelatedWork W2803822345 @default.
- W2963139903 hasRelatedWork W2891333290 @default.
- W2963139903 hasRelatedWork W2899663113 @default.
- W2963139903 hasRelatedWork W2930190311 @default.
- W2963139903 hasRelatedWork W2949108504 @default.
- W2963139903 hasRelatedWork W2949474880 @default.
- W2963139903 hasRelatedWork W2950553984 @default.
- W2963139903 hasRelatedWork W3080252691 @default.
- W2963139903 hasRelatedWork W3087663400 @default.
- W2963139903 hasRelatedWork W3099364208 @default.
- W2963139903 hasRelatedWork W53890638 @default.
- W2963139903 isParatext "false" @default.
- W2963139903 isRetracted "false" @default.
- W2963139903 magId "2963139903" @default.
- W2963139903 workType "article" @default.