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By Alexander Astashkevich (auth.), Jean-Luc Brylinski, Ranee Brylinski, Victor Nistor, Boris Tsygan, Ping Xu (eds.)

This e-book is an outgrowth of the actions of the heart for Geometry and Mathematical Physics (CGMP) at Penn nation from 1996 to 1998. the guts used to be created within the arithmetic division at Penn kingdom within the fall of 1996 for the aim of marketing and assisting the actions of researchers and scholars in and round geometry and physics on the college. The CGMP brings many viewers to Penn country and has ties with different learn teams; it organizes weekly seminars in addition to annual workshops The booklet comprises 17 contributed articles on present learn issues in a number of fields: symplectic geometry, quantization, quantum teams, algebraic geometry, algebraic teams and invariant thought, and personality­ istic sessions. many of the 20 authors have talked at Penn kingdom approximately their study. Their articles current new effects or speak about fascinating perspec­ tives on contemporary paintings. all of the articles were refereed within the common type of fine medical journals. Symplectic geometry, quantization and quantum teams is one major subject of the e-book. numerous authors examine deformation quantization. As­ tashkevich generalizes Karabegov's deformation quantization of Kahler manifolds to symplectic manifolds admitting transverse polarizations, and reviews the instant map when it comes to semisimple coadjoint orbits. Bieliavsky constructs an specific star-product on holonomy reducible sym­ metric coadjoint orbits of an easy Lie staff, and he exhibits the right way to con­ struct a star-representation which has attention-grabbing holomorphic properties.

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