Titlebook: Locally Mixed Symmetric Spaces; Bruce Hunt Book 2021 Springer Nature Switzerland AG 2021 symmetric space.discrete.arithmetic.Lie group.fib

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https://doi.org/10.1007/978-3-030-69804-1symmetric space; discrete; arithmetic; Lie group; fiber space; fiber bundle; arithmetic group; Shimura vari

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Kuga Fiber Spaces,y symmetric spaces to the specific case of locally hermitian symmetric spaces. It has already been observed that the hermitian symmetric case permits much more precise results on its structure; in particular it allows making stronger contact with algebraic geometry.

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Locally Mixed Symmetric Spaces978-3-030-69804-1Series ISSN 1439-7382 Series E-ISSN 2196-9922

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Symmetric Spaces,The notion of symmetric space is a very classical topic in differential geometry, originally created by E. Cartan at the turn of the nineteenth century, and is fundamental to all that follows; this chapter introduces this notion with a certain amount of detail with special emphasis on examples.

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Appendices,In the appendix, notations used throughout the book are introduced, and a few topics are sketched; in addition the section references provides a description of sources where details on these topics can be found, to assist the reader in locating results in the literature.

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Locally Mixed Symmetric Spaces, entering, ., where . is a semisimple .-group such that . is a symmetric space of non-compact type for a maximal compact subgroup . and . is an arithmetic group, there is now a . defining the situation: ., where . is a faithful rational representation (not necessarily defined over .).