Extended Affine Lie Algebras and Their Root Systems (Memoirs of the American Mathematical Society)
Language: English
Published by Amer Mathematical Society, 1997
- Softcover
- Used
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- Title
- Extended Affine Lie Algebras and Their Root Systems (Memoirs of the American Mathematical Society)
- Author
- Azam, Saeid
- Publisher
- Amer Mathematical Society
- Publication year
- 1997
- Condition
- Good
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0821805940
- ISBN 13
- 9780821805947
The first chapter of the paper is devoted to establishing some basic structure theory. It includes a proof of the fact that, as conjectured by Kac, the invariant symmetric bilinear form on an EALA can be scaled so that its restriction to the real span of the root system is positive semi-definite.
The second chapter studies extended affine root systems (EARS) which are an axiomatized version of the root systems arising from EALA's. The concept of a semilattice is used to give a complete description of EARS. In the final chapter, a number of new examples of extended affine Lie algebras are given.
The concluding appendix contains an axiomatic characterization of the nonisotropic roots in an EARS in a more general context than the one used in the rest of the paper.
Features:
Provides a foundation for the study of an important class of Lie algebras that generalizes the class of affine Kac-Moody Lie algebras
Includes material on Lie algebras and on root systems that can be read independently.
"Synopsis" may belong to another edition of this title.
Phatpocket Limited
Waltham Abbey, HERTS, United Kingdom
AbeBooks seller since April 28, 2005
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