1. Generalized Weyl modules and nonsymmetric q-Whittaker functions
- Author
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Ievgen Makedonskyi, Daniel Orr, and Evgeny Feigin
- Subjects
Pure mathematics ,Series (mathematics) ,General Mathematics ,010102 general mathematics ,Function (mathematics) ,Computer Science::Numerical Analysis ,01 natural sciences ,General Relativity and Quantum Cosmology ,Macdonald polynomials ,Mathematics::Quantum Algebra ,0103 physical sciences ,Computer Science::Mathematical Software ,010307 mathematical physics ,0101 mathematics ,Mathematics::Representation Theory ,Generating function (physics) ,Mathematics - 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.
- Published
- 2018
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