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Geometric and quantum aspects of integrable systems : proceedings of the eighth Scheveningen Conference, Scheveningen, the Netherlands, August 16-21, 1992 / G.F. Helminck, ed.

By: (8th : Scheveningen Conference (8th : 1992)
Contributor(s): Helminck, G. F
Material type: TextTextSeries: Lecture notes in physics: 424.Publisher: Berlin ; New York : Springer-Verlag, ©1993Description: 1 online resource (viii, 224 pages) : illustrationsContent type: text Media type: computer Carrier type: online resourceISBN: 9783540480907; 3540480900Subject(s): Integral geometry -- Congresses | Quantum groups -- Congresses | Algebra -- Congresses | Mathematical physics -- Congresses | Algebra | Integral geometry | Mathematical physics | Quantum groupsGenre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:Scheveningen Conference (8th : 1992).: Geometric and quantum aspects of integrable systems.DDC classification: 530.1/56362 LOC classification: QC20.7.G44 | G45 1992Online resources: Click here to access online
Contents:
Isospectral flow and Liouville-Arnold integration in loop algebras / J. Harnad -- Geometry of the modified KdV equation / E. Previato -- Integrable hierarchies and quantum gravity / R. Dijkgraaf -- A geometric construction of solutions of the Toda Lattice hierarchy / G.F. Helminck -- Introduction to random matrices / C.A. Tracy, H. Widom -- The geometry of elastic waves propagating in an anisotropic elastic medium / D.-J. Smit, M.V. de Hoop -- Mathematical addenda to Hopper's model of plane stokes flow driven by capillarity on a free surface / J. de Graaf -- Quantization of integrable mappings / F.W. Nijhoff, H.W. Capel -- Some aspects of the q-deformed oscillator algebras as quantum groups / S. Rodriguez-Romeo, D.W. Ebner.
Action note: digitized 2010 committed to preserveSummary: This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.
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Includes bibliographical references.

This is a collection of outstanding review papers on integrable systems. It gives the algebraic geometric aspects of the subject, describes integrability techniques e.g. for the modified KdV equation, integrability of Hamiltonian systems, hierarchies of equations, probability distribution of eigenvalues, and modern aspects of quantum groups. It addresses researchers in mathematics and mathematical physics.

Isospectral flow and Liouville-Arnold integration in loop algebras / J. Harnad -- Geometry of the modified KdV equation / E. Previato -- Integrable hierarchies and quantum gravity / R. Dijkgraaf -- A geometric construction of solutions of the Toda Lattice hierarchy / G.F. Helminck -- Introduction to random matrices / C.A. Tracy, H. Widom -- The geometry of elastic waves propagating in an anisotropic elastic medium / D.-J. Smit, M.V. de Hoop -- Mathematical addenda to Hopper's model of plane stokes flow driven by capillarity on a free surface / J. de Graaf -- Quantization of integrable mappings / F.W. Nijhoff, H.W. Capel -- Some aspects of the q-deformed oscillator algebras as quantum groups / S. Rodriguez-Romeo, D.W. Ebner.

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