2010•Progress in mathematicsRequires access

Developments and Trends in Infinite-Dimensional Lie Theory

Karl‐Hermann Neeb, Arturo Pianzola

Abstract

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups.Contributors: B. Allison, D. BeltiAGBPAE, W. Bertram, J. Faulkner, Ph. Gille, H. Glockner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova,

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Key concepts: Core (optical fiber), Lie theory, Mathematics, Calculus (dental), Epistemology, Sociology, Algebra over a field, Computer science