Macdonald Operators and Quantum Q-Systems for Classical Types

Research output: Chapter in Book/Report/Conference proceedingChapter


We propose solutions of the quantum Q-systems of types BN, CN, DN in terms of q-difference operators, generalizing our previous construction for the Q-system of type A. The difference operators are interpreted as q-Whittaker limits of discrete time evolutions of Macdonald-van Diejen type operators. We conjecture that these new operators act as raising and lowering operators for q-Whittaker functions, which are special cases of graded characters of fusion products of KR-modules.

Original languageEnglish (US)
Title of host publicationProgress in Mathematics
Number of pages37
StatePublished - 2021

Publication series

NameProgress in Mathematics
ISSN (Print)0743-1643
ISSN (Electronic)2296-505X

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology


Dive into the research topics of 'Macdonald Operators and Quantum Q-Systems for Classical Types'. Together they form a unique fingerprint.

Cite this