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It was proved by Macdonald that the Giambelli identity holds if we define the Schur functions using the Jacobi-Trudi identity.
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1903
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1992
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Macdonald I.G., Symmetric functions and Hall polynomials, 2nd ed.,
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2003
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Tsuboi Z., From the quantum Jacobi–Trudi and Giambelli formula to a nonlinear integral equation for thermodynamics of the higher spin Heisenberg model,
2004
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Nakai W., Nakanishi T., Paths and tableaux descriptions of Jacobi–Trudi determinant associated with quantum affine algebra of type
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Drukker N., Trancanelli D., A supermatrix model for
2010
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2010
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Tierz M., Schur polynomials and biorthogonal random matrix ensembles,
2010
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Drukker N., Mariño M., Putrov P., From weak to strong coupling in ABJM theory,
2011
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Fuji H., Hirano S., Moriyama S., Summing up all genus free energy of ABJM matrix model,
2011
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Moriyama S., Nosaka T., ABJM membrane instanton from a pole cancellation mechanism,
2015
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2015
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2016
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Hatsuda Y., Okuyama K., Exact results for ABJ Wilson loops and open-closed duality,
2016
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Honda M., Exact relations between M2-brane theories with and without orientifolds,
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Mariño M., Putrov P., ABJM theory as a Fermi gas,
2012
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2013
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Hatsuda Y., Honda M., Moriyama S., Okuyama K., ABJM Wilson loops in arbitrary representations,
2013
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Hatsuda Y., Moriyama S., Okuyama K., Instanton bound states in ABJM theory,
2013
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Hatsuda Y., Moriyama S., Okuyama K., Instanton effects in ABJM theory from Fermi gas approach,
2013
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2014
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Matsuno S., Moriyama S., ABJ fractional brane from ABJM Wilson loop,
2014
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2016
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Jing N., Rozhkovskaya N., Vertex operators arising from Jacobi–Trudi identities,
2016
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Kiyoshige K., Moriyama S., Dualities in ABJM matrix model from closed string viewpoint,
2016
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Moriyama S., Nosaka T., Orientifold ABJM matrix model: chiral projections and worldsheet instantons,
2016
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Moriyama S., Suyama T., Instanton effects in orientifold ABJM theory,
2016
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Moriyama S., Suyama T., Orthosymplectic Chern–Simons matrix model and chirality projection,
2016
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Okuyama K., Orientifolding of the ABJ Fermi gas,
2016
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Matsuno S., Moriyama S., Giambelli identity in super Chern–Simons matrix model,
2017
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2017
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