Toroidal Groups

Toroidal Groups PDF Author: Yukitaka Abe
Publisher: Springer
ISBN: 3540449396
Category : Mathematics
Languages : en
Pages : 139

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Book Description
Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.

Toroidal Groups

Toroidal Groups PDF Author: Yukitaka Abe
Publisher: Springer
ISBN: 3540449396
Category : Mathematics
Languages : en
Pages : 139

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Book Description
Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.

Toroidal Groups

Toroidal Groups PDF Author: Yukitaka Abe
Publisher:
ISBN: 9783662194546
Category :
Languages : en
Pages : 152

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On toroidal groups

On toroidal groups PDF Author: Yukitaka Abe
Publisher:
ISBN:
Category :
Languages : en
Pages : 34

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Classification of the Toroidal Groups

Classification of the Toroidal Groups PDF Author: Viera Krn̆anová Proulx
Publisher:
ISBN:
Category :
Languages : en
Pages : 151

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Stable Subgraphs of Toroidal Groups

Stable Subgraphs of Toroidal Groups PDF Author: W. Vollmerhaus
Publisher:
ISBN:
Category :
Languages : en
Pages : 12

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Recent Developments in Complex Analysis and Computer Algebra

Recent Developments in Complex Analysis and Computer Algebra PDF Author: R.P. Gilbert
Publisher: Springer Science & Business Media
ISBN: 1461302978
Category : Mathematics
Languages : en
Pages : 382

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Book Description
This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.

Nine Papers on Topology, Lie Groups, and Differential Equations

Nine Papers on Topology, Lie Groups, and Differential Equations PDF Author: Yu. M. Smirnov
Publisher: American Mathematical Soc.
ISBN: 9780821817216
Category : Mathematics
Languages : en
Pages : 428

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Algebraic Groups

Algebraic Groups PDF Author: J. S. Milne
Publisher: Cambridge University Press
ISBN: 1316739155
Category : Mathematics
Languages : en
Pages : 665

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Book Description
Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in the language of modern algebraic geometry. The first eight chapters study general algebraic group schemes over a field and culminate in a proof of the Barsotti–Chevalley theorem, realizing every algebraic group as an extension of an abelian variety by an affine group. After a review of the Tannakian philosophy, the author provides short accounts of Lie algebras and finite group schemes. The later chapters treat reductive algebraic groups over arbitrary fields, including the Borel–Chevalley structure theory. Solvable algebraic groups are studied in detail. Prerequisites have also been kept to a minimum so that the book is accessible to non-specialists in algebraic geometry.

Structure and Geometry of Lie Groups

Structure and Geometry of Lie Groups PDF Author: Joachim Hilgert
Publisher: Springer Science & Business Media
ISBN: 0387847944
Category : Mathematics
Languages : en
Pages : 742

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Book Description
This self-contained text is an excellent introduction to Lie groups and their actions on manifolds. The authors start with an elementary discussion of matrix groups, followed by chapters devoted to the basic structure and representation theory of finite dimensinal Lie algebras. They then turn to global issues, demonstrating the key issue of the interplay between differential geometry and Lie theory. Special emphasis is placed on homogeneous spaces and invariant geometric structures. The last section of the book is dedicated to the structure theory of Lie groups. Particularly, they focus on maximal compact subgroups, dense subgroups, complex structures, and linearity. This text is accessible to a broad range of mathematicians and graduate students; it will be useful both as a graduate textbook and as a research reference.

Toroidal Embeddings 1

Toroidal Embeddings 1 PDF Author: G. Kempf
Publisher: Springer
ISBN: 3540377557
Category : Mathematics
Languages : en
Pages : 220

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