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Parabolic Geometries I (Mathematical Surveys and Monographs)
Andreas Cap And Jan Slovak
€ 146.60
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Description for Parabolic Geometries I (Mathematical Surveys and Monographs)
Hardcover. Discusses the equivalence between Cartan connections and underlying structures, including a complete proof of Kostant's version of the Bott - Borel - Weil theorem, which is used as an important tool. This book provides a description of the geometry and its basic invariants. Series: Mathematical Surveys and Monographs. Num Pages: 634 pages. BIC Classification: PBM; PBP. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 259 x 186 x 37. Weight in Grams: 1288.
Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions. The characteristic feature of parabolic geometries is an equivalent description by a Cartan geometry modeled on a generalized flag manifold (the quotient of a semisimple Lie group by a parabolic subgroup). Background on differential geometry, with a view towards Cartan connections, and on semisimple Lie algebras and their representations, which play a crucial role in the theory, is collected in two introductory chapters. The main part discusses the equivalence between ... Read more
Parabolic geometries encompass a very diverse class of geometric structures, including such important examples as conformal, projective, and almost quaternionic structures, hypersurface type CR-structures and various types of generic distributions. The characteristic feature of parabolic geometries is an equivalent description by a Cartan geometry modeled on a generalized flag manifold (the quotient of a semisimple Lie group by a parabolic subgroup). Background on differential geometry, with a view towards Cartan connections, and on semisimple Lie algebras and their representations, which play a crucial role in the theory, is collected in two introductory chapters. The main part discusses the equivalence between ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
American Mathematical Society
Condition
New
Series
Mathematical Surveys and Monographs
Number of Pages
634
Place of Publication
Providence, United States
ISBN
9780821826812
SKU
V9780821826812
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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