Bernstein operators for universal characters and symplectic universal characters

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Applications of Lie algebras and superalgebras to integrable systems (17B80) Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Cites Work

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Pieri rules for Schur functions in superspace
Symmetric functions, codes of partitions and the KP hierarchy
A Pieri rule for skew shapes
Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\)
The Cauchy identity for \(Sp(2n)\)
Universal characters and an extension of the KP hierarchy
Young-diagrammatic methods for the representation theory of the classical groups of type \(B_ n\), \(C_ n\), \(D_ n\)
Vertex operators and Hall-Littlewood symmetric functions
An orthosymplectic Pieri rule
On the decomposition of tensor products of the representations of the classical groups: By means of the universal characters
Bernstein operators and super-Schur functions: combinatorial aspects
Quantum walks: Schur functions meet symmetry protected topological phases
Spin Hurwitz theory and Miwa transform for the Schur Q-functions
Extensions of the asymptotic symmetry algebra of general relativity
Multi-component universal character hierarchy and its polynomial tau-functions
Polynomial tau functions of symplectic KP and multi-component symplectic KP hierarchies
Bernstein Operators and Their Properties
Vertex operator realization of symplectic and orthogonalS-functions
The Orthogonal and Symplectic Schur Functions, Vertex Operators and Integrable Hierarchies
Generalized symplectic Schur functions and SUC hierarchy
Super-Schur polynomials for affine super Yangian \(\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})\)

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