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Infinite Dimensional Lie Algebras : An Introduction
Overview of attention for book
Table of Contents
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Book Overview
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Chapter 1
Basic definitions
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Chapter 2
The invariant bilinear form and the generalized Casimir operator
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Chapter 3
Integrable representations and the Weyl group of a Kac-Moody algebra
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Chapter 4
Some properties of generalized Cartan matrices
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Chapter 5
Real and imaginary roots
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Chapter 6
Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group
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Chapter 7
Affine Lie algebras: the realization (case k=1)
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Chapter 8
Affine Lie algebras: the realization (case k=2 or 3). Application to the classification of finite order automorphisms
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Chapter 9
Highest weight modules over the Lie algebra g( A )
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Chapter 10
Integrable highest weight modules: the character formula
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Chapter 11
Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem
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Chapter 12
Integrable highest weight modules over affine Lie algebras. Application to η -function identities
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Chapter 13
Affine Lie algebras, theta functions and modular forms
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Chapter 14
The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations
Overall attention for this book and its chapters
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Mentioned by
syllabi
1
institution with syllabi
wikipedia
2
Wikipedia pages
Citations
dimensions_citation
527
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mendeley
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Mendeley
Book overview
1. Basic definitions
2. The invariant bilinear form and the generalized Casimir operator
3. Integrable representations and the Weyl group of a Kac-Moody algebra
4. Some properties of generalized Cartan matrices
5. Real and imaginary roots
6. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group
7. Affine Lie algebras: the realization (case k=1)
8. Affine Lie algebras: the realization (case k=2 or 3). Application to the classification of finite order automorphisms
9. Highest weight modules over the Lie algebra g( A )
10. Integrable highest weight modules: the character formula
11. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem
12. Integrable highest weight modules over affine Lie algebras. Application to η -function identities
13. Affine Lie algebras, theta functions and modular forms
14. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations
Summary
Syllabi
Wikipedia
Dimensions citations
This data is correct as of December 2015 - for more up to date information, please visit
https://opensyllabus.org/
So far, Altmetric has seen this research output assigned in
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syllabus from an institution on Open Syllabus Project.
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Syllabi count
Course subject areas covered
Mount Allison University
1
Computer Science, Engineering, Biology, Kinesiology, Classics, Dentistry