[PDF.26vg] Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings (Memoirs of the American Mathematical Society)

Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings (Memoirs of the American Mathematical Society)

[PDF.xz66] Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings (Memoirs of the American Mathematical Society)

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 | #9999375 in Books |  2008-02-15 | Original language:English |  9.75 x6.75 x.25l,.75 | File type: PDF | 202 pages

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The aim of this work is to lay the foundations of differential geometry and Lie theory over the general class of topological base fields and -rings for which a differential calculus has been developed, without any restriction on the dimension or on the characteristic. Two basic features distinguish the author's approach from the classical real (finite or infinite dimensional) theory, namely the interpretation of tangent- and jet functors as functors of scalar extensions ...

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