Generalized Weyl modules and nonsymmetric q-Whittaker functions

  • Evgeny Feigin
  • , Ievgen Makedonskyi
  • , Daniel Orr*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We introduce generalized global Weyl modules and relate their graded characters to nonsymmetric Macdonald polynomials and nonsymmetric q-Whittaker functions. In particular, we show that the series part of the nonsymmetric q-Whittaker function is a generating function for the graded characters of generalized global Weyl modules.

Original languageEnglish
Pages (from-to)997-1033
Number of pages37
JournalAdvances in Mathematics
Volume330
DOIs
StatePublished - 25 May 2018
Externally publishedYes

Funding

FundersFunder number
National Science FoundationDMS-1049268

    Keywords

    • Nonsymmetric Macdonald polynomials
    • Weyl modules
    • q-Whittaker functions

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