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Mirror Geometry of Lie Algebras, Lie Groups and Homogeneous Spacesby: Lev V. Sabinin
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AbstractThis book describes a new and original formalism based on mirror symmetries ofLie groups, Lie algebras and Homogeneous spaces. Special systems of mirrorsare used for classification purposes and as an instrument for studies ofHomogeneous spaces. Tri-symmetric and arbitrary Riemannian Homogeneous spacescan also be researched in this way.The book should be of particular interest to researchers in Lie Groups, LieAlgebras, Differential Geometry and their applications but it should alsoprove useful for other postgraduate and advanced graduate students inmathematics.
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