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Differential Geometry and Symmetric Spaces
Sigurdur Helgason
- 01 Jan 1962
TL;DR: In this article, the classification of symmetric spaces has been studied in the context of Lie groups and Lie algebras, and a list of notational conventions has been proposed.
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Abstract: Elementary differential geometry Lie groups and Lie algebras Structure of semisimple Lie algebras Symmetric spaces Decomposition of symmetric spaces Symmetric spaces of the noncompact type Symmetric spaces of the compact type Hermitian symmetric spaces On the classification of symmetric spaces Functions on symmetric spaces Bibliography List of notational conventions Symbols frequently used Author index Subject index Reviews for the first edition.
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D. Shklyarov,Sergey D. Sinel'shchikov,Alexander Stolin,L. Vaksman +3 more
- 01 Sep 2001
TL;DR: In this article, a q-analogue for the Penrose transform is described and a way of producing the principal non-degenerate series representations of the quantum group SU n,n is sketched.
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Special Cycles and Automorphic Forms on Arithmetically Defined Hyperbolic 3-Manifolds
TL;DR: In this article, an orientable hyperbolic 3-manifold H3/G is determined by an algebraic number field k with exactly one complex place, an arbitrary (but possibly empty) set of real places and a quaternion algebra Dover k which ramifies (at least) at all real places of k.
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