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Differential Geometry, Lie Groups, and Symmetric Spaces Over General Base Fields and Rings
Language: en
Pages: 218
Authors: Wolfgang Bertram
Categories: Geometry, Differential
Type: BOOK - Published: 2014-09-11 - Publisher: American Mathematical Society(RI)

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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 Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
Language: en
Pages: 218
Authors: Wolfgang Bertram
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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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
Invariant Differential Operators for Quantum Symmetric Spaces
Language: en
Pages: 104
Authors: Gail Letzter
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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This paper studies quantum invariant differential operators for quantum symmetric spaces in the maximally split case. The main results are quantum versions of t
The Generalized Triangle Inequalities in Symmetric Spaces and Buildings with Applications to Algebra
Language: en
Pages: 98
Authors: Michael Kapovich
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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In this paper the authors apply their results on the geometry of polygons in infinitesimal symmetric spaces and symmetric spaces and buildings to four problems
Sum Formula for SL$_2$ over a Totally Real Number Field
Language: en
Pages: 96
Authors: Roelof W. Bruggeman
Categories: Mathematics
Type: BOOK - Published: 2009-01-21 - Publisher: American Mathematical Soc.

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The authors prove a general form of the sum formula $\mathrm{SL}_2$ over a totally real number field. This formula relates sums of Kloosterman sums to products