Titlebook: Infinite Dimensional Kähler Manifolds; Alan Huckleberry,Tilmann Wurzbacher Book 2001 Springer Basel AG 2001 Complex analysis.Geometry.Matr

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1661-237X of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Bor978-3-7643-6602-5978-3-0348-8227-9Series ISSN 1661-237X Series E-ISSN 2296-5041

Foreshadow

Borel-Weil Theory for Loop Groups,re of a Lie group modeled over the Frechet space .of smooth loops with values in the Lie algebra of .. These notes grew out of a reworking of the proof of the Borel-Weil theory for loop groups as it is presented in the book of Pressley and Segal (.). Our main objective is to develop the techniques w

Glower

Coadjoint Representation of Virasoro-type Lie Algebras and Differential Operators on ensor-densitiejoint representation of the Virasoro group to the Diff(S.)-action on the space of Sturm-Liouville operators was discovered by A.A. Kirillov and G. Segal. This deep and fruitful result relates this topic to the classical problems of projective differential geometry (linear differential operators, pro

Chromatic

From Group Actions to Determinant Bundles Using (Heat-kernel) Renormalization Techniques,e information on the original gauge theory. The geometric framework underlying a gauge field theory is essentially that of an infinite dimensional Lie group ., the gauge group, acting on an infinite dimensional manifold, the manifold of paths .. Here we shall consider a setting in which this group a

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Karl-Hermann Neebre, to justify or explain our actions, and to guide us through life. Telling stories enables us to maintain or make, and sometimes sever, connections with a past and lay foundations for the future. It is through our story telling that we construct a sense of place, a sense of self and a sense of pur

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