Representations and Nilpotent Orbits of Lie Algebraic Systems

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

Representations and Nilpotent Orbits of Lie Algebraic Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Representations and Nilpotent Orbits of Lie Algebraic Systems write by Maria Gorelik. This book was released on 2019-10-18. Representations and Nilpotent Orbits of Lie Algebraic Systems available in PDF, EPUB and Kindle. 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.

An Introduction to Lie Groups and Lie Algebras

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Release : 2008-07-31
Genre : Mathematics
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Book Rating : 693/5 ( reviews)

An Introduction to Lie Groups and Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Lie Groups and Lie Algebras write by Alexander A. Kirillov. This book was released on 2008-07-31. An Introduction to Lie Groups and Lie Algebras available in PDF, EPUB and Kindle. This book is an introduction to semisimple Lie algebras. It is concise and informal, with numerous exercises and examples.

Algebraic and Analytic Methods in Representation Theory

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Release : 1996-09-27
Genre : Mathematics
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Book Rating : 950/5 ( reviews)

Algebraic and Analytic Methods in Representation Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Analytic Methods in Representation Theory write by . This book was released on 1996-09-27. Algebraic and Analytic Methods in Representation Theory available in PDF, EPUB and Kindle. This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Lie Theory

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

Lie Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Lie Theory write by Jean-Philippe Anker. This book was released on 2012-12-06. Lie Theory available in PDF, EPUB and Kindle. * 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.

Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras

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Release : 2012-01-25
Genre : Mathematics
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Book Rating : 205/5 ( reviews)

Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras write by Martin W. Liebeck. This book was released on 2012-01-25. Unipotent and Nilpotent Classes in Simple Algebraic Groups and Lie Algebras available in PDF, EPUB and Kindle. This book concerns the theory of unipotent elements in simple algebraic groups over algebraically closed or finite fields, and nilpotent elements in the corresponding simple Lie algebras. These topics have been an important area of study for decades, with applications to representation theory, character theory, the subgroup structure of algebraic groups and finite groups, and the classification of the finite simple groups. The main focus is on obtaining full information on class representatives and centralizers of unipotent and nilpotent elements. Although there is a substantial literature on this topic, this book is the first single source where such information is presented completely in all characteristics. In addition, many of the results are new--for example, those concerning centralizers of nilpotent elements in small characteristics. Indeed, the whole approach, while using some ideas from the literature, is novel, and yields many new general and specific facts concerning the structure and embeddings of centralizers.