Titlebook: Developments and Retrospectives in Lie Theory; Geometric and Analyt Geoffrey Mason,Ivan Penkov,Joseph A. Wolf Book 2014 Springer Internatio

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John J. Trentin,Surjit K. Datta the quotients can be explicitly realized as Poisson–Dirac submanifolds of the torus orbits of the doubles. The results have a wide range of applications to many families of real and complex Poisson structures on flag varieties. Their torus orbits of leaves recover important families of varieties such as the open Richardson varieties.

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Cycle Connectivity and Automorphism Groups of Flag Domains,roduct of a Hermitian symmetric space of bounded type and a compact flag manifold, Aut(.) is easily described. If . is not holomorphically convex, then in previous work it was shown that Aut(.) is a Lie group whose connected component at the identity agrees with .., except possibly in situations whi

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Shintani Functions, Real Spherical Manifolds, and Symmetry Breaking Operators,himedean case. This criterion leads us to a complete classification of the symmetric pairs (., .′) having finite-dimensional Shintani spaces. A geometric criterion for uniform boundedness of . is also obtained. Furthermore, we prove that symmetry breaking operators of the restriction of smooth admis

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Weak Splittings of Quotients of Drinfeld and Heisenberg Doubles,rjective Poisson submersions from Heisenberg and Drinfeld doubles. The implications of these results are that the torus orbits of symplectic leaves of the quotients can be explicitly realized as Poisson–Dirac submanifolds of the torus orbits of the doubles. The results have a wide range of applicati

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Geoffrey Mason,Ivan Penkov,Joseph A. WolfIncludes contributions by international experts in representation theory/Lie theory.Contains articles covering representation theory from algebraic, geometric, analytic, and topological perspectives.R

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Developments in Mathematicshttp://image.papertrans.cn/d/image/270137.jpg

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https://doi.org/10.1007/978-3-319-09934-7Artinian Gorenstein algebras; Dirac Cohmology; harmonic analysis; mathematical physics; representation t