Vertex operator realization of symplectic and orthogonalS-functions
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Publication:4390018
DOI10.1088/0305-4470/29/12/017zbMath0895.05066OpenAlexW2057091516MaRDI QIDQ4390018
Publication date: 20 August 1998
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/29/12/017
symmetric functionsvertex operatorsplethysmsHirota-type partial differential equationsorthogonal Schur functionssymplectic \(S\)-functions
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Limit shape for infinite rank limit of tensor power decomposition for Lie algebras of series so2n+1 * ⋮ Quantum field presentation for generalized Hall–Littlewood functions ⋮ THE DIRICHLET HOPF ALGEBRA OF ARITHMETICS ⋮ Symplectic and supersymmetric Schur Q-functions, universal characters and integrable hierarchies ⋮ Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies ⋮ Vertex operators, Weyl determinant formulae and Littlewood duality ⋮ Littlewood-Richardson rule for generalized Schur Q-functions ⋮ Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies ⋮ Two types of universal characters and the integrable hierarchies ⋮ Determinantal point processes from symplectic and orthogonal characters and applications ⋮ Character expansion of matrix integrals ⋮ Generalized symplectic Schur functions and SUC hierarchy
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