An introduction to bounded symmetric domains (Q2734849)

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scientific article; zbMATH DE number 1637155
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An introduction to bounded symmetric domains
scientific article; zbMATH DE number 1637155

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    26 August 2001
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    bounded symmetric domains
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    symmetric manifold
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    automorphism group
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    triple product
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    generalized Möbius transformation
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    An introduction to bounded symmetric domains (English)
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    This paper is based on a series of five lectures on an introduction to bounded symmetric domains. Topics include the definitions and basic properties of a symmetric manifold, the automorphism group, and the triple product associated to a symmetric manifold, in particular the case of finite and infinite dimensional bounded symmetric domains is considered. The author gives explicit examples of bounded symmetric domains and their automorphism group in terms of the generalized Möbius transformation.
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