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These Proceedings contain selected original papers by the speakers invited to the Seminar on Deformations, organized in 1988/92 by Julian Lawrynowicz (L6di), whose most fruitful parts took place in 1988 in E6di, Paris and Mexico City (Profs. J. Adem, F. de1. Castillo Alvarado, G. Contreras Puente, R.M. Porter, E. Ramirez de Arellano - Mexico, D.F.; Prof. B. Gaveau - Paris; Profs. J. Lawrynowicz, J. Rembielinski, L. Wojtczak - Mdi et all.), in 1990 in -Mdi, Tokyo and Sapporo (Profs. S. Koshi - Sapporo, O. Suzuki - Tokyo, J. Lawrynowicz - L6di et all.), in 1991 in t6diand Rome (Profs. S. Marchiafava, F. Succi- Rome,J. Lawrynowicz, 1. Wojtczak - l.6di et all.), and in 1992 in E6di and M alinka - Mazurian Lakeland, Poland (Profs. C. Surry - Saint Etienne, J. Lawrynowicz, J. Rembielinski, 1. Wojtczak - L6di et all.). The meetings of the Seminar and the Proceedings were supported by the Polish state Committee for Scientific Research (KBN) and the -L6di Society of Sciences and Arts (LTN).
List of contents
I. Hurwitz-Type Structures.- General Theory.- Editors' note.- Composition of sums of squares with integer coefficients.- Hurwitz-Type Structures Equipped With Additional Geometric and Analytic Structures.- Helmholtz operator with a quaternionic wave number and the associated function theory.- Clifford algebra derivation of the characteristic hypersurfaces of Maxwell's equations.- Hermitian Hurwitz pairs.- Operator realizations of quantum Heisenberg-Weyl and SU(2)q algebras.- Some generalizations of the Jacobi identity with application to the curvature- and torsion-dependent hamiltonians of physical systems.- Special Hurwitz-Type Structures and the Many-Particle Problem.- On dualities generated by the generalised Hurwitz problem.- The duality theorem for the Hurwitz pairs of bidimension (8,5) and the Penrose theory.- Stochastical mechanics of particle systems in Clifford-analytical formulation related to Hurwitz pairs of bidimension (8,5).- II. Surface Physics Structures.- Boundary Conditions: Broken Symmetry and Surafce Decorations.- Statistical mechanics of a crystal surface.- A Hurwitz-pair approach to the pre-melting problem.- On the existence conditions for surface states in tight-binding thin films.- Spin wave resonance profiles.- Deformation of physical and chemical properties of solids caused by the existence of a solid surface.- Spin polarization transport in thin magnetic film.- Nonlinear Solutions and Dynamical Properties: A Near-Surface Region.- Quasilinear quantum field theory (a program of quantization).- A study on torsion vibrations in linear chains.- Etude monodimensionnelle d'sune barre vibrante avec contants unilateraux.- A generalization of the Landau-Lifschitz equation including non-magnetic phenomena.- Chaotic domain wall dynamics and coherentspatial structures in a magnetic system with surfaces.
