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Andersén-Lempert-theory with parameters: a representation theoretic point of view
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering, Physics and Mathematics.
Responsible organisation
2005 (English)In: Journal of Algebra and its Applications, ISSN 0219-4988, Vol. 4, no 3, 325-340 p.Article in journal (Refereed) Published
Abstract [en]

We calculate the invariant subspaces in the linear representation of the group of algebraic automorphisms of ℂn on the vector space of algebraic vector fields on ℂn and more generally we do this in a setting with parameter. As an application to the field of Several Complex Variables we get a new proof of the Andersén–Lempert observation and a parametric version of the Andersén–Lempert theorem. Further applications to the question of embeddings of ℂk into ℂn are announced.

Place, publisher, year, edition, pages
2005. Vol. 4, no 3, 325-340 p.
Keyword [en]
Andersen-Lempert theory
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3442DOI: 10.1142/S0219498805001216Local ID: 3478OAI: oai:DiVA.org:miun-3442DiVA: diva2:28474
Available from: 2008-09-30 Created: 2009-09-15Bibliographically approved

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Kutzschebauch, Frank
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