Matches in SemOpenAlex for { <https://semopenalex.org/work/W4313449858> ?p ?o ?g. }
Showing items 1 to 49 of
49
with 100 items per page.
- W4313449858 abstract "We give a purely combinatorial proof of the positivity of the stabilized forms of the generalized exponents associated to each classical root system. In finite type A_{n-1}, we rederive the description of the generalized exponents in terms of crystal graphs without using the combinatorics of semistandard tableaux or the charge statistic. In finite type C_n, we obtain a combinatorial description of the generalized exponents based on the so-called distinguished vertices in crystals of type A_{2n-1}, which we also connect to symplectic King tableaux. This gives a combinatorial proof of the positivity of Lusztig t-analogues associated to zero weight spaces in the irreducible representations of symplectic Lie algebras. We also present three applications of our combinatorial formula, and discuss some implications to relating two type C branching rules. Our methods are expected to extend to the orthogonal types." @default.
- W4313449858 created "2023-01-06" @default.
- W4313449858 creator A5052175642 @default.
- W4313449858 creator A5056720560 @default.
- W4313449858 date "2017-07-11" @default.
- W4313449858 modified "2023-10-18" @default.
- W4313449858 title "Combinatorics of generalized exponents" @default.
- W4313449858 doi "https://doi.org/10.48550/arxiv.1707.03314" @default.
- W4313449858 hasPublicationYear "2017" @default.
- W4313449858 type Work @default.
- W4313449858 citedByCount "0" @default.
- W4313449858 crossrefType "posted-content" @default.
- W4313449858 hasAuthorship W4313449858A5052175642 @default.
- W4313449858 hasAuthorship W4313449858A5056720560 @default.
- W4313449858 hasBestOaLocation W43134498581 @default.
- W4313449858 hasConcept C114614502 @default.
- W4313449858 hasConcept C118539577 @default.
- W4313449858 hasConcept C168619227 @default.
- W4313449858 hasConcept C18903297 @default.
- W4313449858 hasConcept C202444582 @default.
- W4313449858 hasConcept C2777299769 @default.
- W4313449858 hasConcept C33923547 @default.
- W4313449858 hasConcept C86803240 @default.
- W4313449858 hasConceptScore W4313449858C114614502 @default.
- W4313449858 hasConceptScore W4313449858C118539577 @default.
- W4313449858 hasConceptScore W4313449858C168619227 @default.
- W4313449858 hasConceptScore W4313449858C18903297 @default.
- W4313449858 hasConceptScore W4313449858C202444582 @default.
- W4313449858 hasConceptScore W4313449858C2777299769 @default.
- W4313449858 hasConceptScore W4313449858C33923547 @default.
- W4313449858 hasConceptScore W4313449858C86803240 @default.
- W4313449858 hasLocation W43134498581 @default.
- W4313449858 hasLocation W43134498582 @default.
- W4313449858 hasLocation W43134498583 @default.
- W4313449858 hasOpenAccess W4313449858 @default.
- W4313449858 hasPrimaryLocation W43134498581 @default.
- W4313449858 hasRelatedWork W2048986038 @default.
- W4313449858 hasRelatedWork W2142620643 @default.
- W4313449858 hasRelatedWork W2560565190 @default.
- W4313449858 hasRelatedWork W2595561706 @default.
- W4313449858 hasRelatedWork W2598527145 @default.
- W4313449858 hasRelatedWork W2782960241 @default.
- W4313449858 hasRelatedWork W2905659518 @default.
- W4313449858 hasRelatedWork W2963103437 @default.
- W4313449858 hasRelatedWork W2963526848 @default.
- W4313449858 hasRelatedWork W2966199516 @default.
- W4313449858 isParatext "false" @default.
- W4313449858 isRetracted "false" @default.
- W4313449858 workType "article" @default.