Isotropic Grassmannians, Plücker and Cartan maps

DOI10.1063/5.0021269zbMath1464.37070arXiv2007.03586OpenAlexW3128035794MaRDI QIDQ5855656

J. Harnad, Ferenc Balogh, Jacques Hurtubise

Publication date: 19 March 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03586

zbMATH Keywords

GrassmannianPfaffiansCartan mapKP integrable hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items

Tau functions, infinite Grassmannians, and lattice recurrences ⋮ Universal equations for maximal isotropic Grassmannians ⋮ Lagrangian Grassmannians, CKP hierarchy and hyperdeterminantal relations ⋮ Fourfolds of Weil type and the spinor map ⋮ Notes about the KP/BKP correspondence ⋮ Bilinear expansion of Schur functions in Schur Q-functions: A fermionic approach ⋮ Fredholm Pfaffian \(\tau \)-functions for orthogonal isospectral and isomonodromic systems

Cites Work

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• On addition formulae of KP, mkp and BKP hierarchies
• Schottky-Jung relations and vectorbundles on hyperelliptic curves
• Solitons and infinite dimensional Lie algebras
• Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type
• Loop groups and equations of KdV type
• Pfaffian formulas and Schur \(Q\)-function identities
• On the expansion coefficients of Tau-function of the BKP hierarchy
• Tau Functions and their Applications
• Method for Generating Discrete Soliton Equations. IV
• Isotropic geometry and twistors in higher dimensions. I. The generalized Klein correspondence and spinor flags in even dimensions
• Isotropic geometry and twistors in higher dimensions. II. Odd dimensions, reality conditions, and twistor superspaces
• Bilinear expansions of lattices of KP τ -functions in BKP τ -functions: A fermionic approach
• Fermionic construction of partition functions for two-matrix models and perturbative Schur function expansions