FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2964747572> ?p ?o ?g. }

• W2964747572 abstract "Chinta and Gunnells introduced a rather intricate multi-parameter Weyl group action on rational functions on a torus, which, when the parameters are specialized to certain Gauss sums, describes the functional equations of Weyl group multiple Dirichlet series associated to (n-fold) covers of algebraic groups. In subsequent joint work with Puskas, they extended this action to a metaplectic representation of the equal parameter affine Hecke algebra, which allowed them to obtain explicit formulas for the p-parts of these Dirichlet series. They have also verified by a computer check the remarkable fact that their formulas continue to define a group action for general (unspecialized) parameters. In the first part of paper we give a conceptual explanation of this fact, by giving a uniform and elementary construction of the metaplectic representation for generic Hecke algebras as a suitable quotient of a parabolically induced affine Hecke algebra module, from which the associated Chinta-Gunnells Weyl group action follows through localization. In the second part of the paper we extend the representation to the double affine Hecke algebra, which provides a generalization of Cherednik's basic representation. This allows us to introduce a new family of metaplectic polynomials, which generalize nonsymmetric Macdonald polynomials. In this paper, we provide the details of the construction of polynomials in type A; the general case will be handled in the sequel to this paper." @default.
• W2964747572 created "2019-08-13" @default.
• W2964747572 creator A5025636723 @default.
• W2964747572 creator A5074041137 @default.
• W2964747572 creator A5084368031 @default.
• W2964747572 date "2018-08-03" @default.
• W2964747572 modified "2023-09-27" @default.
• W2964747572 title "Metaplectic representations of Hecke algebras, Weyl group actions, and associated polynomials" @default.
• W2964747572 cites W1534917578 @default.
• W2964747572 cites W1657002161 @default.
• W2964747572 cites W1684035306 @default.
• W2964747572 cites W1973527214 @default.
• W2964747572 cites W1980457866 @default.
• W2964747572 cites W1993837540 @default.
• W2964747572 cites W2008555147 @default.
• W2964747572 cites W2023130202 @default.
• W2964747572 cites W2023226573 @default.
• W2964747572 cites W203158068 @default.
• W2964747572 cites W2063162131 @default.
• W2964747572 cites W2064406668 @default.
• W2964747572 cites W2084269636 @default.
• W2964747572 cites W2095634702 @default.
• W2964747572 cites W2134984950 @default.
• W2964747572 cites W2166031674 @default.
• W2964747572 cites W2252182559 @default.
• W2964747572 cites W2615321870 @default.
• W2964747572 cites W2963361213 @default.
• W2964747572 cites W2964346025 @default.
• W2964747572 cites W3098285128 @default.
• W2964747572 cites W3190016183 @default.
• W2964747572 hasPublicationYear "2018" @default.
• W2964747572 type Work @default.
• W2964747572 sameAs 2964747572 @default.
• W2964747572 citedByCount "1" @default.
• W2964747572 countsByYear W29647475722020 @default.
• W2964747572 crossrefType "posted-content" @default.
• W2964747572 hasAuthorship W2964747572A5025636723 @default.
• W2964747572 hasAuthorship W2964747572A5074041137 @default.
• W2964747572 hasAuthorship W2964747572A5084368031 @default.
• W2964747572 hasConcept C10628310 @default.
• W2964747572 hasConcept C121332964 @default.
• W2964747572 hasConcept C136119220 @default.
• W2964747572 hasConcept C171686973 @default.
• W2964747572 hasConcept C178790620 @default.
• W2964747572 hasConcept C185592680 @default.
• W2964747572 hasConcept C197273675 @default.
• W2964747572 hasConcept C199422724 @default.
• W2964747572 hasConcept C202444582 @default.
• W2964747572 hasConcept C2780791683 @default.
• W2964747572 hasConcept C2781280181 @default.
• W2964747572 hasConcept C2781311116 @default.
• W2964747572 hasConcept C33923547 @default.
• W2964747572 hasConcept C40233952 @default.
• W2964747572 hasConcept C41217588 @default.
• W2964747572 hasConcept C5056958 @default.
• W2964747572 hasConcept C62520636 @default.
• W2964747572 hasConcept C75764964 @default.
• W2964747572 hasConcept C86607863 @default.
• W2964747572 hasConcept C92757383 @default.
• W2964747572 hasConceptScore W2964747572C10628310 @default.
• W2964747572 hasConceptScore W2964747572C121332964 @default.
• W2964747572 hasConceptScore W2964747572C136119220 @default.
• W2964747572 hasConceptScore W2964747572C171686973 @default.
• W2964747572 hasConceptScore W2964747572C178790620 @default.
• W2964747572 hasConceptScore W2964747572C185592680 @default.
• W2964747572 hasConceptScore W2964747572C197273675 @default.
• W2964747572 hasConceptScore W2964747572C199422724 @default.
• W2964747572 hasConceptScore W2964747572C202444582 @default.
• W2964747572 hasConceptScore W2964747572C2780791683 @default.
• W2964747572 hasConceptScore W2964747572C2781280181 @default.
• W2964747572 hasConceptScore W2964747572C2781311116 @default.
• W2964747572 hasConceptScore W2964747572C33923547 @default.
• W2964747572 hasConceptScore W2964747572C40233952 @default.
• W2964747572 hasConceptScore W2964747572C41217588 @default.
• W2964747572 hasConceptScore W2964747572C5056958 @default.
• W2964747572 hasConceptScore W2964747572C62520636 @default.
• W2964747572 hasConceptScore W2964747572C75764964 @default.
• W2964747572 hasConceptScore W2964747572C86607863 @default.
• W2964747572 hasConceptScore W2964747572C92757383 @default.
• W2964747572 hasLocation W29647475721 @default.
• W2964747572 hasOpenAccess W2964747572 @default.
• W2964747572 hasPrimaryLocation W29647475721 @default.
• W2964747572 hasRelatedWork W1741988822 @default.
• W2964747572 hasRelatedWork W1912064545 @default.
• W2964747572 hasRelatedWork W1923245430 @default.
• W2964747572 hasRelatedWork W2041678620 @default.
• W2964747572 hasRelatedWork W2094644586 @default.
• W2964747572 hasRelatedWork W2099033659 @default.
• W2964747572 hasRelatedWork W2128557555 @default.
• W2964747572 hasRelatedWork W2208027387 @default.
• W2964747572 hasRelatedWork W2227564217 @default.
• W2964747572 hasRelatedWork W2623589253 @default.
• W2964747572 hasRelatedWork W2886395406 @default.
• W2964747572 hasRelatedWork W2949231264 @default.
• W2964747572 hasRelatedWork W2951149680 @default.
• W2964747572 hasRelatedWork W2951469848 @default.
• W2964747572 hasRelatedWork W2963361213 @default.
• W2964747572 hasRelatedWork W2963674044 @default.
• W2964747572 hasRelatedWork W3088277063 @default.
• W2964747572 hasRelatedWork W3123132816 @default.

• next