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An analogue of Schur functions for the plane partitions

Physics Letters B, 2018
An attempt is described to extend the notion of Schur functions from Young diagrams to plane partitions. The suggestion is to use the recursion in the partition size, which is easily generalized and deformed.
A. Morozov
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Chalykh's Baker-Akhiezer functions as eigenfunctions of the integer-ray integrable systems

Nuclear Physics B
Macdonald symmetric polynomial at t=q−m reduces to a sum of much simpler complementary non-symmetric polynomials, which satisfy a simple system of the first order linear difference equations with constant coefficients, much simpler than those induced by ...
A. Mironov, A. Morozov, A. Popolitov
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3d field theory, plane partitions and triple Macdonald polynomials

Journal of High Energy Physics, 2019
We argue that MacMahon representation of Ding-Iohara-Miki (DIM) algebra spanned by plane partitions is closely related to the Hilbert space of a 3d field theory.
Yegor Zenkevich
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A reproducing kernel for nonsymmetric Macdonald polynomials [PDF]

, 1998
Katsuhisa Mimachi, Masatoshi Noumi
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An (inverse) Pieri formula for Macdonald polynomials of type C [PDF]

, 2010
Michel Lassalle
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q-Selberg Integrals and Macdonald Polynomials [PDF]