Titlebook: Infinite Dimensional Groups with Applications; V. Kac Conference proceedings 1985 Springer Science+Business Media New York 1985 Applicatio

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,Flag Manifolds and Infinite Dimensional Kähler Geometry,complex projective spaces and Grassmannians), which are of the form G/C(T) for a circle T ⊂ G, are flag manifolds. The generic examples, though, are flag manifolds of the form G/T for T a maximal torus. The name derives from the manifold U(n)/diagonals of flags C0 = V. ⊂ V. ⊂ V. ⊂ … ⊂ V. = ℂ. in com

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Gratulate

Instantons and Harmonic Maps, shall be concerned with two recent examples, namely Yang-Mills theory and the theory of σ-models. Two striking features here are (a) the existence of special solutions known as ., and (b) the possibility of a topological relation between the parameter space or . . of instantons and the space on whi

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ELUC

Constructing Groups Associated to Infinite-Dimensional Lie Algebras,bras is discussed. In the first part a general framework is outlined; here most of the discussion consists of definitions, examples and open problems. Deep results are available only in the case of groups associated to Kac-Moody algebras, which are discussed in the second part; it is based on joint

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An Adjoint Quotient for Certain Groups Attached to Kac-Moody Algebras, to Kac-Moody Lie algebras. These investigations were motivated on one side by the result of Brieskorn relating simple singularities and simple algebraic groups (see for instance [14]) and on the other side by recent results of Looijenga on the deformation theory of simply elliptic and cusp singular