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We develop basic constructions of the Baxter operator formalism for the Macdonald polynomials associated with root systems of type A.
R.J. Baxter, Exactly solved models in statistical mechanics,
1982
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S.N.M. Ruijsenaars, Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
1987
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R.P. Stanley Some combinatorial properties of Jack symmetric functions
1989
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V. Pasquier, M. Gaudin, The periodic Toda chain and a matrix generalization of the Bessel function recursion relation
1992
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H. Awata, Y. Matsuo, S. Odake, J. Shiraishi, A note on Calogero-Sutherland model, W n W_{n} singular vectors and generalized matrix models
1995
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H. Awata, Y. Matsuo, S. Odake, J. Shiraishi, Excited states of Calogero-Sutherland model and singular vectors of W n W_{n} algebra
1995
Cited alongside, same era.
I.G. Macdonald, Symmetric functions and Hall polynomials
1995
Cited alongside, same era.
H. Awata, S. Odake, J. Shiraishi, Integral representations of the Macdonald symmetric functions
1996
Cited alongside, same era.
A. Gerasimov, D. Lebedev, S. Oblezin, Baxter operator and Archimedean Hecke algebra
2008
Cited alongside, same era.
A. Gerasimov, D. Lebedev, S. Oblezin, On q-defomed 𝔤 𝔩 ℓ + 1 \mathfrak{gl}_{\ell+1} -Whittaker function I
2010
Cited alongside, same era.
A. Gerasimov, D. Lebedev, S. Oblezin, On a classical limit of q-deformed Whittaker functions
Cited in the paper.
A. Gerasimov, D. Lebedev, S. Oblezin, On q-defomed 𝔤 𝔩 ℓ + 1 \mathfrak{gl}_{\ell+1} -Whittaker function II
2010
Later among the works it cites.
A. Gerasimov, D. Lebedev, S. Oblezin, On q-defomed 𝔤 𝔩 ℓ + 1 \mathfrak{gl}_{\ell+1} -Whittaker funciton III
2011
Later among the works it cites.
A. Gerasimov, D. Lebedev, S. Oblezin, Archimedean L-factors and topological field theories I
2011
Later among the works it cites.
A. Gerasimov, D. Lebedev, S. Oblezin, Parabolic Whittaker functions and topological field theories I
2011
Later among the works it cites.
A. Gerasimov, D. Lebedev, S. Oblezin, Archimedean L-factors and topological field theories II
2016
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