Matrix Integrals and the Geometry of Spinors

DOI10.2991/jnmp.2001.8.2.9zbMath0984.37079arXivsolv-int/9909028OpenAlexW2156753195MaRDI QIDQ2747845

Johan W. van de Leur

Publication date: 22 April 2002

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

Full work available at URL: https://arxiv.org/abs/solv-int/9909028

zbMATH Keywords

orbitspinorsFock spacematrix integrals

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

Related Items (16)

Elliptic parameterization of Pfaff integrable hierarchies in the zero-dispersion limit ⋮ Integrable lattice hierarchies behind Cauchy two-matrix model and Bures ensemble ⋮ BKP and projective Hurwitz numbers ⋮ The n-component KP hierarchy and representation theory ⋮ Löwner equations and reductions of dispersionless hierarchies ⋮ Pfaffian and determinantal tau functions ⋮ A new solvable two-matrix model and the BKP tau function ⋮ Multi-variable reductions of the dispersionless DKP hierarchy ⋮ Character expansion of matrix integrals ⋮ Fermionic construction of tau functions and random processes ⋮ Hurwitz numbers and products of random matrices ⋮ The applications of the gauge transformation for the BKP hierarchy ⋮ Matrix integral solutions to the discrete and coupled Leznov lattice equations ⋮ Deformed Ginibre ensembles and integrable systems ⋮ Toda versus Pfaff lattice and related polynomials. ⋮ Enumeration of non-oriented maps via integrability

Cites Work

• Solitons and infinite dimensional Lie algebras
• The spectrum of coupled random matrices
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
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