MARC details
| 000 -LEADER |
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| fixed length control field |
02582 a2200265 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241016151628.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
241016b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783319374338 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IISER-BPR |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
ENG |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
512.482 |
| Item number |
HAL |
| Edition number |
23rd |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hall, Brian C. |
| 9 (RLIN) |
247 |
| 222 ## - KEY TITLE |
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| Key title |
Mathematics |
| 245 ## - TITLE STATEMENT |
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| Title |
Lie groups, lie algebras, and representations : |
| Remainder of title |
An elementary introduction |
| 250 ## - EDITION STATEMENT |
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| Edition statement |
2nd ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
Switzerland: |
| Name of publisher, distributor, etc |
Springer International Publishing, |
| Date of publication, distribution, etc |
c2015. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
xiii, 449p. : |
| Other physical details |
pbk. ; |
| Dimensions |
24cm |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
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| Title |
Graduate Texts in Mathematics |
| Volume number/sequential designation |
Vol. 222 |
| 9 (RLIN) |
248 |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.<br/><br/>In addition to its accessible treatment of the basic theory of Lie groups and Lie algebras, the book is also noteworthy for including:<br/><br/>* A treatment of the Baker–Campbell–Hausdorff formula and its use in place of the Frobenius theorem to establish deeper results about the relationship between Lie groups and Lie algebras<br/>* Motivation for the machinery of roots, weights and the Weyl group via a concrete and detailed exposition of the representation theory of sl(3;C)<br/>* An unconventional definition of semisimplicity that allows for a rapid development of the structure theory of semisimple Lie algebras<br/>* A self-contained construction of the representations of compact groups, independent of Lie-algebraic arguments<br/><br/>The second edition of Lie Groups, Lie Algebras, and Representations contains many substantial improvements and additions, among them: an entirely new part devoted to the structure and representation theory of compact Lie groups; a complete derivation of the main properties of root systems; the construction of finite-dimensional representations of semisimple Lie algebras has been elaborated; a treatment of universal enveloping algebras, including a proof of the Poincaré–Birkhoff–Witt theorem and the existence of Verma modules; complete proofs of the Weyl character formula, the Weyl dimension formula and the Kostant multiplicity formula.<br/><br/>Also includes appendices, bibliographic references and subject index. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Algebra |
| 9 (RLIN) |
249 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Rings |
| 9 (RLIN) |
250 |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Lie Algebras and Groups |
| 9 (RLIN) |
251 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
