Lie algebras of finite and affine type
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Bibliographic Information
Lie algebras of finite and affine type
(Cambridge studies in advanced mathematics, 96)
Cambridge University Press, 2005
- : hbk
Available at / 55 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
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Note
Includes bibliographical references (p. 619-628) and index
Description and Table of Contents
Description
Table of Contents
- 1. Basic concepts
- 2. Representations of soluble and nilpotent Lie algebras
- 3. Cartan subalgebras
- 4. The Cartan decomposition
- 5. The root systems and the Weyl group
- 6. The Cartan matrix and the Dynkin diagram
- 7. The existence and uniqueness theorems
- 8. The simple Lie algebras
- 9. Some universal constructions
- 10. Irreducible modules for semisimple Lie algebras
- 11. Further properties of the universal enveloping algebra
- 12. Character and dimension formulae
- 13. Fundamental modules for simple Lie algebras
- 14. Generalized Cartan matrices and Kac-Moody algebras
- 15. The classification of generalised Cartan matrices
- 16 The invariant form, root system and Weyl group
- 17. Kac-Moody algebras of affine type
- 18. Realisations of affine Kac-Moody algebras
- 19. Some representations of symmetrisable Kac-Moody algebras
- 20. Representations of affine Kac-Moody algebras
- 21. Borcherds Lie algebras
- Appendix.
by "Nielsen BookData"