Infinite dimensional lie algebras

By: Victor G. KacMaterial type: TextTextSeries: Progress in Mathematics ; Vol. 44Publication details: New York: Springer, [c1983]Description: 245 pISBN: 9781475713848Subject(s): MathematicsLOC classification: QA252.3
Contents:
1. The invariant bilinear form and the generalized Casimir operator 2. Integrable representations and the Weyl group of a Kac-Moody algebra 3. Some properties of generalized Cartan matrices 4. Real and imaginary roots 5. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group 6. Affine Lie algebras: the realization (case k=1) 7. Affine Lie algebras: the realization (case k=2 or 3). Application to the classification of finite order automorphisms 8. Highest weight modules over the Lie algebra g(A) 9. Integrable highest weight modules: the character formula 10. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem 11. Integrable highest weight modules over affine Lie algebras. Application to η-function identities 12. Affine Lie algebras, theta functions and modular forms 13. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations
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Mathematic Rack No 5 QA252.3 (Browse shelf (Opens below)) Available Invoice no. IN 31 ; Date 02-04-2019 01953
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1. The invariant bilinear form and the generalized Casimir operator
2. Integrable representations and the Weyl group of a Kac-Moody algebra
3. Some properties of generalized Cartan matrices
4. Real and imaginary roots
5. Affine Lie algebras: the normalized invariant bilinear form, the root system and the Weyl group
6. Affine Lie algebras: the realization (case k=1)
7. Affine Lie algebras: the realization (case k=2 or 3). Application to the classification of finite order automorphisms
8. Highest weight modules over the Lie algebra g(A)
9. Integrable highest weight modules: the character formula
10. Integrable highest weight modules: the weight system, the contravariant Hermitian form and the restriction problem
11. Integrable highest weight modules over affine Lie algebras. Application to η-function identities
12. Affine Lie algebras, theta functions and modular forms
13. The principal realization of the basic representation. Application to the KdV-type hierarchies of non-linear partial differential equations

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