MARC details
| 000 -LEADER |
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| fixed length control field |
02316nam a2200289 i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
ISI Library, Kolkata |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20260511154344.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
260511b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9781470479152 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
ISI Library |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Edition number |
23 |
| Classification number |
512.55 |
| Item number |
H174 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Hall, J. I., |
| Relator term |
author. |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Introduction to Lie algebras : |
| Remainder of title |
finite and infinite dimension / |
| Statement of responsibility, etc |
J. I. Hall. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
|---|
| Place of publication, distribution, etc |
Providence, Rhode Island : |
| Name of publisher, distributor, etc |
American Mathematical Society, |
| Date of publication, distribution, etc |
2024. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xxv, 514 pages : |
| Other physical details |
illustrations ; |
| Dimensions |
26 cm |
| 490 1# - SERIES STATEMENT |
|---|
| Series statement |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
volume 248 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
|---|
| Bibliography, etc |
Includes bibliographical references and index. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Algebras -- Examples of Lie algebras -- Lie groups -- Lie algebra basics -- Cartan decomposition -- Semisimple Lie algebras -- Root systems -- PBW and free Lie algebras -- Chevalley bases -- Kac-Moody Lie algebras -- Integrable representations -- Character theory -- Infinite-dimensional Lie algebras -- Virasoro algebra. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
This graduate-level textbook presents a modern introduction to the theory of Lie algebras, covering both finite-dimensional and infinite-dimensional structures. Beginning with the algebraic foundations and classical examples of Lie algebras and Lie groups, the book develops the structural theory of semisimple Lie algebras, including Cartan decompositions, root systems, and the Killing-Cartan classification. The author further explores representation theory, Chevalley bases, universal enveloping algebras, and integrable representations. A substantial portion of the text is devoted to infinite-dimensional Lie algebras, including Kac-Moody algebras, affine Lie algebras, loop algebras, and the Virasoro algebra, together with applications to geometry, mathematical physics, and differential equations. Combining rigorous mathematical development with historical context, examples, and exercises, the book serves as a comprehensive resource for graduate students and researchers in algebra, geometry, and theoretical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lie algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Kac-Moody algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Infinite-dimensional Lie algebras. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Representation theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematical physics. |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE |
|---|
| Uniform title |
Graduate studies in mathematics ; |
| Volume number/sequential designation |
248. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
