Developments and Trends in InfiniteDimensional Lie Theory
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The work Developments and Trends in InfiniteDimensional Lie Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Developments and Trends in InfiniteDimensional Lie Theory
Resource Information
The work Developments and Trends in InfiniteDimensional Lie Theory represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Developments and Trends in InfiniteDimensional Lie Theory
 Statement of responsibility
 edited by KarlHermann Neeb, Arturo Pianzola
 Language

 eng
 eng
 Summary
 This collection of invited expository articles focuses on recent developments and trends in infinitedimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinitedimensional Lie (super)algebras, geometry of infinitedimensional Lie (transformation) groups, and representation theory of infinitedimensional Lie groups. Part (A) is mainly concerned with the structure and representation theory of infinitedimensional Lie algebras and contains articles on the structure of directlimit Lie algebras, extended affine Lie algebras and loop algebras, as well as representations of loop algebras and Kac–Moody superalgebras. The articles in Part (B) examine connections between infinitedimensional Lie theory and geometry. The topics range from infinitedimensional groups acting on fiber bundles, corresponding characteristic classes and gerbes, to Jordantheoretic geometries and new results on directlimit groups. The analytic representation theory of infinitedimensional Lie groups is still very much underdeveloped. The articles in Part (C) develop new, promising methods based on heat kernels, multiplicity freeness, Banach–Lie–Poisson spaces, and infinitedimensional generalizations of reductive 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, K. Styrkas, K. Waldorf, and J.A. Wolf
 Dewey number
 512.482
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt

 wSo5SeXEncY
 mqzpfOcST7E
 Language note
 English
 LC call number

 QA252.3
 QA387
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Progress in Mathematics,
 Series volume
 288
Context
Context of Developments and Trends in InfiniteDimensional Lie TheoryWork of
 Developments and Trends in InfiniteDimensional Lie Theory, edited by KarlHermann Neeb, Arturo Pianzola, (electronic resource)
 Developments and Trends in InfiniteDimensional Lie Theory, edited by KarlHermann Neeb, Arturo Pianzola, (electronic resource)
 Developments and Trends in InfiniteDimensional Lie Theory, edited by KarlHermann Neeb, Arturo Pianzola, (electronic resource)
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