WorldCat Identities

Neeb, Karl-Hermann

Overview
Works: 144 works in 343 publications in 3 languages and 3,176 library holdings
Roles: Author, Editor, Creator
Classifications: QA3, 512.55
Publication Timeline
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Most widely held works by Karl-Hermann Neeb
Lie semigroups and their applications by Joachim Hilgert( Book )

18 editions published in 1993 in English and held by 333 WorldCat member libraries worldwide

Subsemigroups of finite-dimensional Lie groups that are generated by one-parameter semigroups are the subject of this book. It covers basic Lie theory for such semigroups and some closely related topics. These include ordered homogeneous manifolds, where the order is defined by a field of cones, invariant cones in Lie algebras and associated Ol'shanskii semigroups. Applications to representation theory, symplectic geometry and Hardy spaces are also given. The book is written as an efficient guide for those interested in subsemigroups of Lie groups and their applications in various fields of mathematics (see the User's guide at the end of the Introduction). Since it is essentially self-contained and leads directly to the core of the theory, the first part of the book can also serve as an introduction to the subject. The reader is merely expected to be familiar with the basic theory of Lie groups and Lie algebras
Invariant subsemigroups of Lie groups by Karl-Hermann Neeb( Book )

14 editions published in 1993 in English and Italian and held by 235 WorldCat member libraries worldwide

Holomorphy and convexity in Lie theory by Karl-Hermann Neeb( Book )

16 editions published between 1999 and 2000 in English and German and held by 181 WorldCat member libraries worldwide

Developments and trends in infinite-dimensional lie theory by Karl-Hermann Neeb( Book )

15 editions published between 2010 and 2011 in English and held by 119 WorldCat member libraries worldwide

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
Structure and geometry of Lie groups by Joachim Hilgert( Book )

20 editions published between 2011 and 2012 in English and held by 97 WorldCat member libraries worldwide

This text is designed as an introduction to Lie groups and their actions on manifolds, one that is accessible both to a broad range of mathematicians and to graduate students.℗Building on℗the authors' Lie-Gruppen und Lie-Algebren textbook from 1991, it℗presents the fundamental℗ principles of Lie groups℗while incorporating the past 20 years of the authors' teaching and research, and giving due emphasis to the role played by differential geometry in the field. The text is entirely self contained,℗and provides ample guidance to students with the presence of many exercises and selected hints. The work begins with a study of matrix groups, which serve as examples to concretely and directly illustrate℗the correspondence between groups and their Lie algebras. In the second part of the book, the℗authors℗investigate the basic structure and representation theory of finite dimensional Lie algebras,℗such as℗the rough structure theory relevant to the theorems of Levi and Malcev, the fine structure of semisimple Lie algebras (root decompositions), and questions related to representation theory. In the third part of the book, the authors turn to global issues, most notably the interplay between differential geometry and Lie theory. Finally, the℗fourth part of the book deals with the structure theory of Lie groups, including℗some refined applications of the exponential function, various classes of Lie groups, and℗structural issues for general Lie groups. To round out the book's content, several appendices appear at the end of this℗last part. Containing a wealth of useful information, including new results, Structure and Geometry of Lie Groups provides a unique perspective on the study of Lie groups and℗is a valuable addition to the literature. Prerequisites are generally kept to a minimum, and various pedagogical features make it an excellent supplemental text for graduate students. However, the work also contains much that will be of interest to more advanced audiences, and can serve as a useful research reference in the field
Lie-Gruppen und Lie-Algebren by Joachim Hilgert( Book )

8 editions published in 1991 in German and held by 74 WorldCat member libraries worldwide

Lie theory : Lie algebras and representations by Jens Carsten Jantzen( Book )

8 editions published in 2004 in English and held by 35 WorldCat member libraries worldwide

"Ideal for graduate students and researchers, Lie Theory provides a broad, clearly focused examination of semisimple Lie groups and their integral importance to research in many branches of mathematics."--Jacket
Infinite-dimensional groups and their representations by Karl-Hermann Neeb( Book )

6 editions published between 2000 and 2002 in English and held by 18 WorldCat member libraries worldwide

Universal central extensions of Lie groups by Karl-Hermann Neeb( Book )

5 editions published in 2001 in English and held by 18 WorldCat member libraries worldwide

Highest weight representations and infinite-dimensional Kähler manifolds by Karl-Hermann Neeb( Book )

5 editions published in 2001 in English and held by 17 WorldCat member libraries worldwide

Banach-Lie quotients, enlargibility, and universal complexifications by Helge Glckner( Book )

5 editions published in 2001 in English and held by 17 WorldCat member libraries worldwide

The universal central extension of the holomorphic current algebra by Karl-Hermann Neeb( )

4 editions published in 2003 in English and held by 16 WorldCat member libraries worldwide

Borel-Weil theory for loop groups by Karl-Hermann Neeb( )

4 editions published in 2000 in English and held by 16 WorldCat member libraries worldwide

Nancy lectures on infinite-dimensional Lie groups by Karl-Hermann Neeb( )

3 editions published in 2002 in English and held by 15 WorldCat member libraries worldwide

Current groups for non-compact manifolds and their central extensions by Karl-Hermann Neeb( )

3 editions published in 2002 in English and held by 15 WorldCat member libraries worldwide

Classical Hilbert-Lie groups, their extensions and their homotopy groups by Karl-Hermann Neeb( )

3 editions published in 2001 in English and held by 15 WorldCat member libraries worldwide

A topological Maslov index for 3-graded Lie groups by Karl-Hermann Neeb( )

5 editions published between 2004 and 2005 in English and held by 15 WorldCat member libraries worldwide

A Cartan-Hadamard theorem for Banach-Finsler manifolds by Karl-Hermann Neeb( )

3 editions published in 1999 in English and held by 14 WorldCat member libraries worldwide

Central extensions of infinite-dimensional Lie groups by Karl-Hermann Neeb( )

4 editions published in 2000 in English and held by 14 WorldCat member libraries worldwide

Central extensions of current groups by Peter Maier( )

2 editions published in 2002 in English and held by 14 WorldCat member libraries worldwide

 
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Audience Level
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  Kids General Special  
Audience level: 0.64 (from 0.18 for Holomorphy ... to 0.94 for A topologi ...)

Lie semigroups and their applications
Alternative Names
Neeb, K.-H.

Neeb, K.-H. 1964-

Neeb, K.-H. (Karl-Hermann)

Languages
English (141)

German (9)

Italian (1)

Covers
Holomorphy and convexity in Lie theoryDevelopments and trends in infinite-dimensional lie theoryLie theory : Lie algebras and representations