000			01552nam a22002057a 4500
003			OSt
005			20241126151253.0
008			190412b ||||| |||| 00| 0 eng d
020			_a9781475713848
040			_cTata Book House _aICTS-TIFR
050			_aQA252.3
100			_aVictor G. Kac
245			_aInfinite dimensional lie algebras
260			_aNew York: _bSpringer, _c[c1983]
300			_a245 p
490			_a Progress in Mathematics _vVol. 44
505			_a1. 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
650			_aMathematics
942			_2lcc _cBK
999			_c2616 _d2616