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Advances in Geometry - Volume 1 (Hardcover, 1999 ed.)
Loot Price: R3,030
Discovery Miles 30 300
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Advances in Geometry - Volume 1 (Hardcover, 1999 ed.)
Series: Progress in Mathematics, 172
Expected to ship within 10 - 15 working days
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This book is an outgrowth of the activities of the Center for
Geometry and Mathematical Physics (CGMP) at Penn State from 1996 to
1998. The Center was created in the Mathematics Department at Penn
State in the fall of 1996 for the purpose of promoting and
supporting the activities of researchers and students in and around
geometry and physics at the university. The CGMP brings many
visitors to Penn State and has ties with other research groups; it
organizes weekly seminars as well as annual workshops The book
contains 17 contributed articles on current research topics in a
variety of fields: symplectic geometry, quantization, quantum
groups, algebraic geometry, algebraic groups and invariant theory,
and character istic classes. Most of the 20 authors have talked at
Penn State about their research. Their articles present new results
or discuss interesting perspec tives on recent work. All the
articles have been refereed in the regular fashion of excellent
scientific journals. Symplectic geometry, quantization and quantum
groups is one main theme of the book. Several authors study
deformation quantization. As tashkevich generalizes Karabegov's
deformation quantization of Kahler manifolds to symplectic
manifolds admitting two transverse polarizations, and studies the
moment map in the case of semisimple coadjoint orbits. Bieliavsky
constructs an explicit star-product on holonomy reducible sym
metric coadjoint orbits of a simple Lie group, and he shows how to
con struct a star-representation which has interesting holomorphic
properties."
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