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dc.contributor.authorHuckleberry, Alan
dc.contributor.authorWurzbacher, Tilmann
dc.date.accessioned2016-09-23T15:20:15Z
dc.date.available2016-09-23T15:20:15Z
dc.date.issued2001
dc.identifier.isbn978-3-7643-6602-5
dc.identifier.urihttp://publications.mfo.de/handle/mfo/514
dc.description.abstractInfinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.en_US
dc.language.isoen_USen_US
dc.publisherBirkhäuser Baselen_US
dc.relation.ispartofseriesDMV Seminar;Vol. 31
dc.titleInfinite dimensional Kähler manifoldsen_US
dc.typeBooken_US
dc.identifier.doi10.1007/978-3-0348-8227-9
local.series.idOWS-31


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