Infinite dimensional Lie groups in geometry and representation theory : Washington, DC, USA 17-21 August 2000 / editors, Augustia Banyaga, Joshua A. Leslie, Theirry Robart.
This volume constitutes the proceedings of the 2000 Howard conference on "Infinite Dimensional Lie Groups in Geometry and Representation Theory", and presents some important developments in this area. It opens with a topological characterization of regular groups; treats among other topics the integrability problem of various infinite dimensional Lie algebras; presents substantial contributions to important subjects in modern geometry; and concludes with interesting applications to representation theory. The work should be a source of inspiration for advanced graduate students and established researchers in the field of geometry and its applications to mathematical physics.
Contents
Inheritance properties for Lipschitz-Metrizable Frölicher groups / J. Teichmann -- Around the exponential mapping / T. Robart -- On a solution to a global inverse problem with respect to certain generalized symmetrizable Kac-Moody algebras / J.A. Leslie -- On some properties of Leibniz algebroids / A. Wade -- On the geometry of locally conformal symplectic manifolds / A. Banyaga -- Some properties of locally conformal symplectic manifolds / S. Haller -- Criticality of unit contact vector fields / P. Rukimbira -- Orbifold homeomorphism and diffeomorphism groups / J.E. Borzellino & V. Brunsden -- A note on isotopies of symplectic and Poisson structures / A. Banyaga & P. Donato -- Remarks on actions on compacta by some infinite-dimensional groups / V. Pestov.
Local Note
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