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Nilpotent orbits in semisimple Lie algebras by David H. Collingwood

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Published by Van Nostrand Reinhold in New York .
Written in English

Subjects:

  • Lie algebras.,
  • Orbit method.

Book details:

Edition Notes

Includes bibliographical references (p. [179]-183) and index.

StatementDavid H. Collingwood, William M. McGovern.
ContributionsMcGovern, William M., 1959-
Classifications
LC ClassificationsQA252.3 .C65 1993
The Physical Object
Paginationxiii, 186 p. :
Number of Pages186
ID Numbers
Open LibraryOL1726390M
ISBN 100534188346
LC Control Number92030461

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Nilpotent Orbits In Semisimple Lie Algebra: An Introduction 1st Edition by David.H. Collingwood (Author)Cited by: Get this from a library! Nilpotent orbits in semisimple Lie algebras. [David H Collingwood; William M McGovern] -- The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from the common ground of basic structure. 1. Preliminaries 2. Semisimple Orbits 3. The Dynkin-Kostant Classification 4. Principal, Subregular, and Minimal Nilpotent Orbits 5. Nilpotent Orbits in the Classical Algebras 6. Topology of Nilpotent Orbits 7. Induced Nilpotent Orbits 8. The Exceptional Cases and Bala-Carter Theory 9. Real Nilpotent Orbits Advanced Topics: Series Title. This book collects important results concerning the classification and properties of nilpotent orbits in a Lie algebra. It develops the Dynkin-Kostant and Bala-Carter classifications of complex nilpotent orbits and derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits.

The book develops the Dynkin-Konstant and Bala-Carter classifications of complex nilpotent orbits, derives the Lusztig-Spaltenstein theory of induction of nilpotent orbits, discusses basic topological questions, and classifies real nilpotent orbits. The classical algebras are emphasized throughout; here the theory can be simplified by using the. Through the s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl group, and primitive ideals in an enveloping algebra. The principal aim of this book is to collect together the important results concerning the classification and properties of nilpotent orbits, beginning from.   Nilpotent Orbits In Semisimple Lie Algebra book. An Introduction. Through the s, a circle of ideas emerged relating three very different kinds of objects associated to a complex semisimple Lie algebra: nilpotent orbits, representations of a Weyl Cited by: 1. Preliminaries 2. Semisimple Orbits 3. The Dynkin-Kostant Classification 4. Principal, Subregular, and Minimal Nilpotent Orbits 5. Nilpotent Orbits in the Classical Algebras 6. Topology of Nilpotent Orbits 7. Induced Nilpotent Orbits 8. The Exceptional Cases and Bala-Carter Theory 9. Real Nilpotent Orbits Advanced Topics.

  Nilpotent Orbits In Semisimple Lie Algebra by David H. Collingwood, , available at Book Depository with free delivery worldwide.5/5(1). In mathematics, a Lie algebra is semisimple if it is a direct sum of simple Lie algebras, i.e., non-abelian Lie algebras whose only ideals are {0} and itself.. Throughout the article, unless otherwise stated, a Lie algebra is a finite-dimensional Lie algebra over a field of characteristic 0. For such a Lie algebra, if nonzero, the following conditions are equivalent. the work by Djokovic on the adjoint orbits of nilpotent elements in Z-graded Lie algebra e8(8) [8]. An essential part of our method of classification of nilpotent orbits in real Zm-graded semisimple Lie algebras is a combination of certain ideas in their works. In this note we propose a method to classify the adjoint orbits of homogeneousAuthor: Hong Van Le. Buy Nilpotent Orbits In Semisimple Lie Algebra: An Introduction 1 by Collingwood, David.H., McGovern, William.M. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible : David.H. Collingwood, William.M. McGovern.