Loop groups. Repr. with corrections. (English) Zbl 0638.22009

Oxford Mathematical Monographs. Oxford (UK): Clarendon Press. viii, 318 p. £15.00 (1988).
See the extensive review by S. I. Gel’fand in Zbl 0618.22011 of the first edition (1986).


22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties
17B67 Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras
22-02 Research exposition (monographs, survey articles) pertaining to topological groups
46M20 Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.)
14M15 Grassmannians, Schubert varieties, flag manifolds
43A85 Harmonic analysis on homogeneous spaces
32M10 Homogeneous complex manifolds