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ISSN 1464-8997 (on line) 1464-8989 (printed) 281 Geometry & Topology Monographs Volume 3: Invitation to higher local fields Part II, section 8, pages 281ґ292 8. Higher local skew fields Alexander Zheglov n -dimensional local skew fields are a natural generalization of n -dimensional local fields. ... For example, K is a (commutative) local field and the skew field represents elements of the Brauer group of the field K (see also an example below). ... Higher local skew fields 283 8.2. ... Proof. ...

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Geometric Structures in Integrable Systems Sergey Adzhiev (with Victor Vedenyapin), Entropy for generalised quantum kinetic and Liouville equations. Abstract: In his 1872 paper L. Boltzmann proved H-theorem for a class of kinetic equations. ... Abstract: P. Clarkson and M. Kruskal (1989) proposed a method for finding reductions of partial differential equations with two independent variables. ... Gennady El, Kinetic equation for a soliton gas ґ a new integrable system? ...

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Linear Algebra and its Applications 337 (2001) 87ґ108 www.elsevier.com/locate/laa Transformation to versal deformations of matrices Alexei A. Mailybaev Institute of Mechanics, Moscow State Lomonosov University, Michurinsky pr. ... Keywords: Versal deformation; Normal form; Transformation; Lie algebra; Jordan algebra; Reversible matrix 1. ... Arnold [1,3] defined and studied normal forms of deformations of complex matrices (called versal deformations). ... A is the Jordan normal form A = diag(J1 ,.. ...

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