Introduction to Finite and Infinite Dimensional Lie (Super)algebras
Academic Press Inc (Verlag)
978-0-12-804675-3 (ISBN)
The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semi-simple Lie algebras. While discussing all classes of finite and infinite dimensional Lie algebras and Lie superalgebras in terms of their different classes of root systems, the book focuses on Kac-Moody algebras. With numerous exercises and worked examples, it is ideal for graduate courses on Lie groups and Lie algebras.
N. Sthanumoorthy has 45 years of teaching and research experience. Formerly Professor and Professor Emeritus, Dr Sthanumoorthy is presently the Principal Investigator of a Book-Writing Project funded by “Science and Engineering Research Board - Department of Science and Technology, Government of India in RIASM, University of Madras, India. He has published several research papers on topics closely related to the title of the present book, guided many Ph.D. scholars and evaluated several Ph.D. theses. He was an editor of Kac-Moody Lie Algebras and Related topics, which published as volume 343 of ‘Contemporary Mathematics (AMS)’, and he is a reviewer for Mathematical Reviews. He delivered lectures in many institutions in the USA, Germany, Italy, China, and India. Many awards and honors were also conferred on the author.
1. Finite dimensional Lie Algebras
2. Kac-Moody algebras
3. Generalized Kac-Moody algebras
4. Lie superalgebras
5. Borcherds Kac-Moody Lie superalgebras
6. Lie algebras of Lie groups, Kac-Moody groups, supergroups and some specialized topics in finite and infinite dimensional Lie algebras
| Erscheinungsdatum | 08.04.2016 |
|---|---|
| Verlagsort | San Diego |
| Sprache | englisch |
| Maße | 152 x 229 mm |
| Gewicht | 910 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| ISBN-10 | 0-12-804675-9 / 0128046759 |
| ISBN-13 | 978-0-12-804675-3 / 9780128046753 |
| Zustand | Neuware |
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