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A Survey of $q$-Whittaker polynomials (2006.12591v1)
Published 22 Jun 2020 in math.CO, math-ph, math.MP, and math.RT
Abstract: Exploiting the fact that the $q$-Whittaker polynomials arise as a specialization of the (modified) Macdonald polynomials, we derive some of their basic properties, and explore interesting identities that they satisfy. We also show how they arise as graded Frobenius characteristics of $\S_n$-modules, and give a combinatorial approach to associated Pieri formulas.
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