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|a 9781107653610 (pbk.)
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|a 1107653614 (pbk.)
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|a MAT002000
|2 bisacsh
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| 100 |
1 |
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|a Henderson, Anthony,
|d 1976-
|e author.
|
| 245 |
1 |
0 |
|a Representations of Lie algebras :
|b an introduction through gln̳ /
|c Anthony Henderson, School of Mathematics and Statistics, University of Sydney.
|
| 264 |
|
1 |
|a Cambridge, UK ;
|a New York :
|b Cambridge University Press,
|c ©2012, 2012.
|
| 300 |
|
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|a ix, 156 pages :
|b illustrations ;
|c 23 cm.
|
| 336 |
|
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|a text
|b txt
|2 rdacontent
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| 337 |
|
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|a unmediated
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|2 rdamedia
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| 338 |
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|a volume
|b nc
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| 490 |
1 |
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|a Australian Mathematical Society lecture series ;
|v 22
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| 500 |
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|a On title page "n̳" is subscript.
|
| 504 |
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|a Includes bibliographical references and index.
|
| 520 |
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|a "This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author's exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author's own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics"--
|c Provided by publisher.
|
| 505 |
2 |
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|a 1. Motivation: representations of Lie groups -- 2. Definition of a Lie algebra -- 3. Basic structure of a Lie algebra -- 4. Modules over a Lie algebra -- 5. The theory of sl₂-modules -- 6. General theory of modules -- 7. Integral gln̳-modules -- 8. Guide to further reading -- Appendix: solutions to the exercises.
|
| 650 |
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|a Representations of Lie algebras.
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| 650 |
|
7 |
|a MATHEMATICS / Algebra / General.
|2 bisacsh
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| 830 |
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0 |
|a Australian Mathematical Society lecture series ;
|v 22.
|
| 856 |
4 |
2 |
|3 Cover image
|u http://assets.cambridge.org/97811076/53610/cover/9781107653610.jpg
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|a Texas A&M University
|b College Station
|c Sterling C. Evans Library
|d Evans: Library Stacks
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|e QA252.3 .H46 2012
|h Library of Congress classification
|i unmediated -- volume
|m A14841522369
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f |
|a QA252.3 .H46 2012
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