A.L. Onishchik's Books

Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg

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Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg

From the reviews: "..., the book must be of great help for a researcher who already has some idea of Lie theory, wants to employ it in his everyday research and/or teaching, and needs a source for customary reference on the subject. From my viewpoint, the volume is perfectly fit to serve as such a source, ... On the whole, it is quite a pleasure, after making yourself comfortable in that favourite office armchair of yours, just to keep the volume gently in your hands and browse it slowly and thoughtfully; and after all, what more on Earth can one expect of any book?" --The New Zealand Mathematical Society Newsletter

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241

Publisher

Springer Science & Business Media

Published Date

ISBN 10

364257999X

ISBN 13

9783642579998

Lectures on Real Semisimple Lie Algebras and Their Representations

By: A. L. Onishchik

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Lectures on Real Semisimple Lie Algebras and Their Representations

By: A. L. Onishchik

The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the theory of Cartan-Iwahori. It concludes with some tables, where an involution of the Dynkin diagram that allows for finding self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. V. Silhan, this involution is interpreted in terms of the Satake diagram.

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Page Count

100

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190027

ISBN 13

9783037190029

Lie Groups and Lie Algebras III

Structure of Lie Groups and Lie Algebras

By: A.L. Onishchik,E.B. Vinberg

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Lie Groups and Lie Algebras III

Structure of Lie Groups and Lie Algebras

By: A.L. Onishchik,E.B. Vinberg

A comprehensive and modern account of the structure and classification of Lie groups and finite-dimensional Lie algebras, by internationally known specialists in the field. This Encyclopaedia volume will be immensely useful to graduate students in differential geometry, algebra and theoretical physics.

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Page Count

264

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540546839

ISBN 13

9783540546832

Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg

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Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,A.L. Onishchik,E.B. Vinberg

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Page Count

241

Publisher

Springer Science & Business Media

Published Date

ISBN 10

364257999X

ISBN 13

9783642579998

Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,E.B. Vinberg

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Lie Groups and Lie Algebras I

Foundations of Lie Theory Lie Transformation Groups

By: V.V. Gorbatsevich,E.B. Vinberg

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Page Count

552

Publisher

Springer Science & Business Media

Published Date

ISBN 10

354061222X

ISBN 13

9783540612223

Lie Groups and Lie Algebras II

Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras

By: A.L. Onishchik

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Lie Groups and Lie Algebras II

Discrete Subgroups of Lie Groups and Cohomologies of Lie Groups and Lie Algebras

By: A.L. Onishchik

A systematic survey of all the basic results on the theory of discrete subgroups of Lie groups, presented in a convenient form for users. The book makes the theory accessible to a wide audience, and will be a standard reference for many years to come.

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Page Count

238

Publisher

Boom Koninklijke Uitgevers

Published Date

ISBN 10

3540505857

ISBN 13

9783540505853

Lectures on Real Semisimple Lie Algebras and Their Representations

By: A. L. Onishchik

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Lectures on Real Semisimple Lie Algebras and Their Representations

By: A. L. Onishchik

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Page Count

100

Publisher

European Mathematical Society

Published Date

ISBN 10

3037190027

ISBN 13

9783037190029

Selected Papers of E. B. Dynkin with Commentary

By: Evgeniĭ Borisovich Dynkin,Gary M. Seitz

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Selected Papers of E. B. Dynkin with Commentary

By: Evgeniĭ Borisovich Dynkin,Gary M. Seitz

Eugene Dynkin is a rare example of a contemporary mathematician who has achieved outstanding results in two quite different areas of research: algebra and probability. In both areas, his ideas constitute an essential part of modern mathematical knowledge and form a basis for further development. Although his last work in algebra was published in 1955, his contributions continue to influence current research in algebra and in the physics of elementary particles. His work in probability is part of both the historical and the modern development of the topic. This volume presents Dynkin's scientific contributions in both areas. Included are Commentary by recognized experts in the corresponding fields who describe the time, place, role, and impact of Dynkin's research and achievements. Biographical notes and the recollections of his students are also featured.This book is jointly published by the AMS and the International Press.

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Page Count

834

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821810650

ISBN 13

9780821810651

Book's by A.L. Onishchik

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras I

Lectures on Real Semisimple Lie Algebras and Their Representations

Lectures on Real Semisimple Lie Algebras and Their Representations

Lie Groups and Lie Algebras III

Lie Groups and Lie Algebras III

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras I

Lie Groups and Lie Algebras II

Lie Groups and Lie Algebras II

Lectures on Real Semisimple Lie Algebras and Their Representations

Lectures on Real Semisimple Lie Algebras and Their Representations

Selected Papers of E. B. Dynkin with Commentary

Selected Papers of E. B. Dynkin with Commentary

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