9 edition of **Infinite-Dimensional Lie Algebras (Translations of Mathematical Monographs)** found in the catalog.

- 43 Want to read
- 16 Currently reading

Published
**July 2001**
by American Mathematical Society
.

Written in English

- Algebra,
- Lie algebras,
- Mathematics,
- Science/Mathematics,
- Algebra - Linear,
- Algebra - General

**Edition Notes**

Contributions | Kenji Iohara (Translator) |

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 304 |

ID Numbers | |

Open Library | OL9374283M |

ISBN 10 | 0821826549 |

ISBN 10 | 9780821826546 |

This is the third, substantially revised edition of this important monograph by a giant in the field of mathematics. The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. Each chapter begins with a motivating discussion and ends with a collection of exercises with hints to the more challenging problems. This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\\widehat {\\mathfrak {sl}}}(2, {\\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra. Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the.

Try the new Google Books. Check out the new look and enjoy easier access to your favorite features. Try it now. No thanks. 2 Strong ILHLie group with the Lie algebra ETjS Infinite-dimensional Lie Groups Limited preview. Infinite-Dimensional Lie Algebras - by Victor G. Kac September Email your librarian or administrator to recommend adding this book to your organisation's collection. Infinite-Dimensional Lie Algebras. 3rd edition Victor G. Kac; Online ISBN:

It is only in recent times that infinite-dimensional Lie algebras have been the subject of other than sporadic study, with perhaps two exceptions: Cartan's simple algebras . The book is concerned with Kac–Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses.5/5(1).

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The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate by: The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations.

It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses.5/5(1).

Infinite Dimensional Lie Algebras: An Introduction (Progress in Mathematics) rd Edition by Victor G. Kac (Author) › Visit Amazon's Victor G.

Kac Page. Find all the books, read about the author, and more. See search results for this author. Are you an author. Cited by: While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras.

With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie : Hardcover. Concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations, this is the third revision of an important monograph.

Each chapter begins with a motivating discussion and ends with a collection of exercises with hints to the more challenging problems/5(8). *immediately available upon purchase as print book shipments may be delayed due to the COVID crisis.

ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. The book is concerned with Kac–Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate by: About this book It is only in recent times that infinite-dimensional Lie algebras have been the subject of other than sporadic study, with perhaps two exceptions: Cartan's simple algebras of infinite type, and free : Springer Netherlands.

The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations. It is based on courses given over a number of years at MIT and in. Infinite Dimensional Lie Algebras An Introduction.

Authors (view affiliations) Victor G. Kac; Book. Citations; 4 Mentions; Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group. About this book. Keywords. This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra.

Continuing on, the main subjects of the book are the structure (real and imaginary root systems) of and the character. Infinite-dimensional Lie algebras Minoru Wakimoto This volume begins with an introduction to the structure of finite-dimensional simple Lie algebras, including the representation of ${\widehat {\mathfrak {sl}}}(2, {\mathbb C})$, root systems, the Cartan matrix, and a Dynkin diagram of a finite-dimensional simple Lie algebra.

Starting with the works of Lie, Killing, and Cartan, the theory of finite-dimensional Lie groups and Lie algebras has developed systematically in depth and scope.

On the other hand, Cartan's works on simple infinite-dimensional Lie algebras had been virtually forgotten until the mid-sixties. Books of Victor Kac. Infinite dimensional Lie algebras, Birkhäuser, Boston, (second edition, Cambridge University Press, ) (third edition, Cambridge.

Infinite-Dimensional Lie Algebras | Victor G. Kac | download | B–OK. Download books for free. Find books.

The reason why you want to study Lie algebras can have a great impact on what books one would recommend. Do you want to study solely the algebraic side. With a view towards algebraic groups. As a second introduction to representation theory (after finite groups).

Or do you want to learn about Lie theory, i.e. Lie groups and Lie algebras. Infinite-dimensional Lie Algebras - free book at E-Books Directory. You can download the book or read it online. It is made freely available by its author and publisher. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.

1 Bombay Lectures on Highest Weight Representations of Infinite Dimensional Lie Algebras. Lie Groups Associated to Kac-Moody Lie Algebras: An Analytic Approach (E Rodriguez-Carrington) Almost Split-K-Forms of Kac-Moody Algebras (G Rousseau) Related Books.

Mathematical Methods for the Natural and Engineering Sciences. Search in this book series. Lie Algebras Finite and Infinite Dimensional Lie Algebras and Applications in Physics.

Edited by E.A. De Kerf, G.G.A. Bäuerle, A.P.E. Ten Kroode. Volume 7, Pages () Download full volume. Previous volume. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras.

With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras.To mathematicians, it illustrates the interaction of the key ideas of the representation theory of infinite dimensional Lie algebras and of the theory of vertex algebras; and to physicists, these theories are turning into an important component of such domains of theoretical physics as soliton theory, conformal field theory, the theory of two 5/5(1).

One of the special features of this book is that it carefully explains Zelmanov's seminal results on infinite-dimensional Lie algebras from this point of view. The book is suitable for advanced graduate students and researchers who are interested in learning how Jordan algebras can be used as a powerful tool to understand Lie algebras.