Generalized Weyl modules and nonsymmetric q-Whittaker functions

Evgeny Feigin, Ievgen Makedonskyi, Daniel Orr

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


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
Publication statusPublished - 25 May 2018
Externally publishedYes


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


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