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Nilpotent Orbits In Semisimple Lie Algebra

2017-10-19 Mathematics
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Release : 2017-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 683/5 ( reviews)

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Book Synopsis Nilpotent Orbits In Semisimple Lie Algebra by : William.M. McGovern

Download or read book Nilpotent Orbits In Semisimple Lie Algebra written by William.M. McGovern. This book was released on 2017-10-19. Available in PDF, EPUB and Kindle. Book excerpt: Through the 1990s, 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 the common ground of basic structure theory. The techniques used are elementary and in the toolkit of any graduate student interested in the harmonic analysis of representation theory of Lie groups. 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 combinatorics of partitions and tableaux. The authors conclude with a survey of advanced topics related to the above circle of ideas. This book is the product of a two-quarter course taught at the University of Washington.

Nilpotent Orbits in Semisimple Lie Algebras and Singularities of Their Closures

1992
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Release : 1992
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Book Rating : /5 ( reviews)

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Book Synopsis Nilpotent Orbits in Semisimple Lie Algebras and Singularities of Their Closures by : Vladimir Hinich

Download or read book Nilpotent Orbits in Semisimple Lie Algebras and Singularities of Their Closures written by Vladimir Hinich. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Lie Theory

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 922/5 ( reviews)

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Book Synopsis Lie Theory by : Jean-Philippe Anker

Download or read book Lie Theory written by Jean-Philippe Anker. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: * First of three independent, self-contained volumes under the general title, "Lie Theory," featuring original results and survey work from renowned mathematicians. * Contains J. C. Jantzen's "Nilpotent Orbits in Representation Theory," and K.-H. Neeb's "Infinite Dimensional Groups and their Representations." * Comprehensive treatments of the relevant geometry of orbits in Lie algebras, or their duals, and the correspondence to representations. * Should benefit graduate students and researchers in mathematics and mathematical physics.

Nilpotent Orbits, Primitive Ideals, and Characteristic Classes

1989-12-01
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Release : 1989-12-01
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Kind : eBook
Book Rating : 599/5 ( reviews)

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Book Synopsis Nilpotent Orbits, Primitive Ideals, and Characteristic Classes by : Walter Borho

Download or read book Nilpotent Orbits, Primitive Ideals, and Characteristic Classes written by Walter Borho. This book was released on 1989-12-01. Available in PDF, EPUB and Kindle. Book excerpt:

Representations and Nilpotent Orbits of Lie Algebraic Systems

2019-10-18 Mathematics
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Release : 2019-10-18
Genre : Mathematics
Kind : eBook
Book Rating : 319/5 ( reviews)

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Book Synopsis Representations and Nilpotent Orbits of Lie Algebraic Systems by : Maria Gorelik

Download or read book Representations and Nilpotent Orbits of Lie Algebraic Systems written by Maria Gorelik. This book was released on 2019-10-18. Available in PDF, EPUB and Kindle. Book excerpt: This volume, a celebration of Anthony Joseph’s fundamental influence on classical and quantized representation theory, explores a wide array of current topics in Lie theory by experts in the area. The chapters are based on the 2017 sister conferences titled “Algebraic Modes of Representations,” the first of which was held from July 16-18 at the Weizmann Institute of Science and the second from July 19-23 at the University of Haifa. The chapters in this volume cover a range of topics, including: Primitive ideals Invariant theory Geometry of Lie group actions Quantum affine algebras Yangians Categorification Vertex algebras This volume is addressed to mathematicians who specialize in representation theory and Lie theory, and who wish to learn more about this fascinating subject.

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