By Karl-Hermann Neeb,Arturo Pianzola
This choice of invited expository articles makes a speciality of contemporary advancements and tendencies in infinite-dimensional Lie concept, which has turn into one of many middle parts of recent arithmetic. The ebook is split into 3 components: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) teams, and illustration conception of infinite-dimensional Lie groups.
Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, ok. Styrkas, okay. Waldorf, and J.A. Wolf.
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Developments and Trends in Infinite-Dimensional Lie Theory: 288 (Progress in Mathematics) by Karl-Hermann Neeb,Arturo Pianzola