An introduction to Lie groups and Lie algebras:
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, deve...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2010
|
| Series: | Cambridge studies in advanced mathematics
113 |
| Subjects: | |
| Online Access: | DE-12 DE-92 DE-355 DE-706 DE-29 Volltext |
| Summary: | With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (ix, 222 Seiten) |
| ISBN: | 9780511755156 |
| DOI: | 10.1017/CBO9780511755156 |
Staff View
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| 520 | |a With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras | ||
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| contents | Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation |
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| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511755156 |
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| id | DE-604.BV043940613 |
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| indexdate | 2024-07-20T09:01:55Z |
| institution | BVB |
| isbn | 9780511755156 |
| language | English |
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| publishDate | 2010 |
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| spelling | Kirillov, Alexander Jr. 1967- Verfasser (DE-588)135930243 aut An introduction to Lie groups and Lie algebras Alexander Kirillov, Jr An Introduction to Lie Groups & Lie Algebras Cambridge Cambridge University Press 2010 © 2008 1 online resource (ix, 222 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 113 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Lie-Algebra (DE-588)4130355-6 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Lie-Gruppe (DE-588)4035695-4 s Lie-Algebra (DE-588)4130355-6 s Darstellungstheorie (DE-588)4148816-7 s DE-604 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-521-88969-8 Erscheint auch als Druck-Ausgabe 978-1-107-47188-7 Cambridge studies in advanced mathematics 113 (DE-604)BV044781283 113 https://doi.org/10.1017/CBO9780511755156 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kirillov, Alexander Jr. 1967- An introduction to Lie groups and Lie algebras Cambridge studies in advanced mathematics Introduction -- Lie groups: basic definitions -- Lie groups and Lie algebras -- Representation of Lie groups and Lie algebras -- Structure theory of Lie algebras -- Complex semisimple Lie algebras -- Root systems -- Representation of semisimple Lie algebras -- Overview of the literature -- Appendix A: Root systems and simple Lie algebras -- Appendix B: Sample syllabus -- List of notation Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4148816-7 (DE-588)4130355-6 (DE-588)4151278-9 |
| title | An introduction to Lie groups and Lie algebras |
| title_alt | An Introduction to Lie Groups & Lie Algebras |
| title_auth | An introduction to Lie groups and Lie algebras |
| title_exact_search | An introduction to Lie groups and Lie algebras |
| title_full | An introduction to Lie groups and Lie algebras Alexander Kirillov, Jr |
| title_fullStr | An introduction to Lie groups and Lie algebras Alexander Kirillov, Jr |
| title_full_unstemmed | An introduction to Lie groups and Lie algebras Alexander Kirillov, Jr |
| title_short | An introduction to Lie groups and Lie algebras |
| title_sort | an introduction to lie groups and lie algebras |
| topic | Lie groups Lie algebras Lie-Gruppe (DE-588)4035695-4 gnd Darstellungstheorie (DE-588)4148816-7 gnd Lie-Algebra (DE-588)4130355-6 gnd |
| topic_facet | Lie groups Lie algebras Lie-Gruppe Darstellungstheorie Lie-Algebra Einführung |
| url | https://doi.org/10.1017/CBO9780511755156 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT kirillovalexander anintroductiontoliegroupsandliealgebras AT kirillovalexander anintroductiontoliegroupsliealgebras |