Representations of Lie algebras: an introduction through gln
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2012
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Australian Mathematical Society lecture series
22 |
| Schlagworte: | |
| Online-Zugang: | Cover image Inhaltsverzeichnis |
| Beschreibung: | "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"-- Provided by publisher. |
| Beschreibung: | IX, 156 S. |
| ISBN: | 9781107653610 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804149482776952832 |
|---|---|
| adam_text | REPRESENTATIONS OF LIE ALGEBRAS
/ HENDERSON, ANTHONY [AUTHOR]
: 2012
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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 GLN-MODULES; 8. GUIDE TO FURTHER READING; APPENDIX: SOLUTIONS
TO THE EXERCISES; BIBLIOGRAPHY; INDEX.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
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| dewey-full | 512/.482 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.482 |
| dewey-search | 512/.482 |
| dewey-sort | 3512 3482 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV040423140 |
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| isbn | 9781107653610 |
| language | English |
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| physical | IX, 156 S. |
| publishDate | 2012 |
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| spelling | Henderson, Anthony 1976- Verfasser (DE-588)1045962104 aut Representations of Lie algebras an introduction through gln Anthony Henderson 1. publ. Cambridge Cambridge Univ. Press 2012 IX, 156 S. txt rdacontent n rdamedia nc rdacarrier Australian Mathematical Society lecture series 22 "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"-- Provided by publisher. Representations of Lie algebras MATHEMATICS / Algebra / General bisacsh Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Australian Mathematical Society lecture series 22 (DE-604)BV001902595 22 http://assets.cambridge.org/97811076/53610/cover/9781107653610.jpg Cover image LoC Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025275804&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Henderson, Anthony 1976- Representations of Lie algebras an introduction through gln Australian Mathematical Society lecture series Representations of Lie algebras MATHEMATICS / Algebra / General bisacsh Darstellungstheorie (DE-588)4148816-7 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4148816-7 (DE-588)4130355-6 |
| title | Representations of Lie algebras an introduction through gln |
| title_auth | Representations of Lie algebras an introduction through gln |
| title_exact_search | Representations of Lie algebras an introduction through gln |
| title_full | Representations of Lie algebras an introduction through gln Anthony Henderson |
| title_fullStr | Representations of Lie algebras an introduction through gln Anthony Henderson |
| title_full_unstemmed | Representations of Lie algebras an introduction through gln Anthony Henderson |
| title_short | Representations of Lie algebras |
| title_sort | representations of lie algebras an introduction through gln |
| title_sub | an introduction through gln |
| topic | Representations of Lie algebras MATHEMATICS / Algebra / General bisacsh Darstellungstheorie (DE-588)4148816-7 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Representations of Lie algebras MATHEMATICS / Algebra / General Darstellungstheorie Lie-Algebra |
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