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Topological groups. Lie groups --- Differential geometry. Global analysis --- Complex manifolds --- Partially ordered spaces --- Semisimple Lie groups --- Flag manifolds --- 512 --- Flag varieties (Mathematics) --- Manifolds, Flag --- Varieties, Flag (Mathematics) --- Algebraic varieties --- Semi-simple Lie groups --- Lie groups --- Spaces, Partially ordered --- Ordered topological spaces --- Topological spaces --- Analytic spaces --- Manifolds (Mathematics) --- Algebra --- 512 Algebra --- Complex manifolds. --- Lie groups. --- Partially ordered spaces. --- Espaces partiellement ordonnés. --- Lie, Groupes de. --- Variétés complexes.

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This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Geometric and Analytic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis.  Contributors to the Geometric and Analytic Methods volume: Y. Bahturin                                         D. Miličić P. Bieliavsky                                       K.-H. Neeb V. Gayral                                            G. Ólafsson A. de Goursac                                     E. Remm M. Goze                                             W. Soergel J. Hilgert                                             F. Spinnler A. Huckleberry                                    M. Yakimov T. Kobayashi                                       R. Zierau S. Mehdi  .

Lie algebras. --- Lie groups. --- Mathematics --- Research. --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Mathematical research --- Algebras, Lie --- Algebra, Abstract --- Algebras, Linear --- Lie groups --- Topological Groups. --- Geometry, algebraic. --- Number theory. --- Topological Groups, Lie Groups. --- Algebraic Geometry. --- Number Theory. --- Mathematical Physics. --- Number study --- Numbers, Theory of --- Algebra --- Algebraic geometry --- Geometry --- Groups, Topological --- Continuous groups --- Topological groups. --- Algebraic geometry. --- Mathematical physics. --- Physical mathematics --- Physics

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This volume reviews and updates a prominent series of workshops in representation/Lie theory, and reflects the widespread influence of those  workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, and mathematical physics.  Many of the contributors have had leading roles in both the classical and modern developments of Lie theory and its applications. This Work, entitled Developments and Retrospectives in Lie Theory, and comprising 26 articles, is organized in two volumes: Algebraic Methods and Geometric and Analytic Methods. This is the Algebraic Methods volume. The Lie Theory Workshop series, founded by Joe Wolf and Ivan Penkov and joined shortly thereafter by Geoff Mason, has been running for over two decades. Travel to the workshops has usually been supported by the NSF, and local universities have provided hospitality. The workshop talks have been seminal in describing new perspectives in the field covering broad areas of current research.  Most of the workshops have taken place at leading public and private universities in California, though on occasion workshops have taken place in Oregon, Louisiana and Utah.  Experts in representation theory/Lie theory from various parts of  the Americas, Europe and Asia have given talks at these meetings. The workshop series is robust, and the meetings continue on a quarterly basis.  Contributors to the Algebraic Methods volume: Y. Bahturin, C. P. Bendel, B.D. Boe, J. Brundan, A. Chirvasitu, B. Cox, V. Dolgushev, C.M. Drupieski, M.G. Eastwood, V. Futorny, D. Grantcharov, A. van Groningen, M. Goze, J.-S. Huang, A.V. Isaev, I. Kashuba, R.A. Martins, G. Mason, D. Miličić, D.K., Nakano, S.-H. Ng, B.J. Parshall, I. Penkov, C. Pillen, E. Remm, V. Serganova, M.P. Tuite, H.D. Van, J.F. Willenbring, T. Willwacher, C.B. Wright, G. Yamskulna, G. Zuckerman.

Mathematics --- Number theory --- Algebraic geometry --- Topological groups. Lie groups --- Geometry --- landmeetkunde --- topologie (wiskunde) --- wiskunde --- getallenleer --- geometrie