Author: Jean-Paul Dufour
Publisher: Springer Science & Business Media
ISBN: 3764373350
Category : Mathematics
Languages : en
Pages : 332
Book Description
The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
Poisson Structures and Their Normal Forms
Author: Jean-Paul Dufour
Publisher: Springer Science & Business Media
ISBN: 3764373350
Category : Mathematics
Languages : en
Pages : 332
Book Description
The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
Publisher: Springer Science & Business Media
ISBN: 3764373350
Category : Mathematics
Languages : en
Pages : 332
Book Description
The aim of this book is twofold. On the one hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.
Normal Forms in Poisson Geometry
Author: Ioăn Tiberiu Marcut̨
Publisher:
ISBN: 9789039359136
Category : Normal forms (Mathematics)
Languages : en
Pages : 0
Book Description
Publisher:
ISBN: 9789039359136
Category : Normal forms (Mathematics)
Languages : en
Pages : 0
Book Description
Normal Forms in Poisson Geometry
Author: Ioăn Tiberiu Marcut̨
Publisher:
ISBN: 9789039359136
Category : Normal forms (Mathematics)
Languages : en
Pages : 267
Book Description
Publisher:
ISBN: 9789039359136
Category : Normal forms (Mathematics)
Languages : en
Pages : 267
Book Description
Normal Forms for Analytic Poisson Structures
Author: Mathematical Sciences Research Institute (Berkeley, Calif.).
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 29
Book Description
Poisson Structures
Author: Camille Laurent-Gengoux
Publisher: Springer Science & Business Media
ISBN: 3642310907
Category : Mathematics
Languages : en
Pages : 470
Book Description
Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of these contexts, it turns out that the Poisson structure is not a theoretical artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to the problem in nearly all cases. Poisson Structures is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures. The first part covers solid foundations, the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications of Poisson structures (integrable systems and deformation quantization). The clear structure of the book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researchers who are interested in an introduction to the many facets and applications of Poisson structures.
Publisher: Springer Science & Business Media
ISBN: 3642310907
Category : Mathematics
Languages : en
Pages : 470
Book Description
Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of these contexts, it turns out that the Poisson structure is not a theoretical artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to the problem in nearly all cases. Poisson Structures is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures. The first part covers solid foundations, the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications of Poisson structures (integrable systems and deformation quantization). The clear structure of the book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researchers who are interested in an introduction to the many facets and applications of Poisson structures.
Poisson Geometry in Mathematics and Physics
Author: Giuseppe Dito
Publisher: American Mathematical Soc.
ISBN: 0821844237
Category : Mathematics
Languages : en
Pages : 330
Book Description
This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.
Publisher: American Mathematical Soc.
ISBN: 0821844237
Category : Mathematics
Languages : en
Pages : 330
Book Description
This volume is a collection of articles by speakers at the Poisson 2006 conference. The program for Poisson 2006 was an overlap of topics that included deformation quantization, generalized complex structures, differentiable stacks, normal forms, and group-valued moment maps and reduction.
Lectures on Poisson Geometry
Author: Marius Crainic
Publisher: American Mathematical Soc.
ISBN: 1470466678
Category : Education
Languages : en
Pages : 479
Book Description
This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto
Publisher: American Mathematical Soc.
ISBN: 1470466678
Category : Education
Languages : en
Pages : 479
Book Description
This excellent book will be very useful for students and researchers wishing to learn the basics of Poisson geometry, as well as for those who know something about the subject but wish to update and deepen their knowledge. The authors' philosophy that Poisson geometry is an amalgam of foliation theory, symplectic geometry, and Lie theory enables them to organize the book in a very coherent way. —Alan Weinstein, University of California at Berkeley This well-written book is an excellent starting point for students and researchers who want to learn about the basics of Poisson geometry. The topics covered are fundamental to the theory and avoid any drift into specialized questions; they are illustrated through a large collection of instructive and interesting exercises. The book is ideal as a graduate textbook on the subject, but also for self-study. —Eckhard Meinrenken, University of Toronto
Multiplicative and Affine Poisson Structures on Lie Groups
Author: Jiang-Hua Lu
Publisher:
ISBN:
Category :
Languages : en
Pages : 156
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 156
Book Description
Poisson Structures and Lie Algebroids in Complex Geometry
Author: Brent Pym
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Council for African American Researchers in the Mathematical Sciences: Volume V
Author: Council for African American Researchers in the Mathematical Sciences
Publisher: American Mathematical Soc.
ISBN: 0821844571
Category : Mathematics
Languages : en
Pages : 166
Book Description
"This volume contains articles based on talks presented at the Thirteenth Conference of African American Researchers in the Mathematical Sciences (CAARMS), held at Northeastern University and the University of Massachusetts, Boston on June 19-22, 2007. The representation theory of Lie groups and its applications were a major focus of the talks."--BOOK JACKET.
Publisher: American Mathematical Soc.
ISBN: 0821844571
Category : Mathematics
Languages : en
Pages : 166
Book Description
"This volume contains articles based on talks presented at the Thirteenth Conference of African American Researchers in the Mathematical Sciences (CAARMS), held at Northeastern University and the University of Massachusetts, Boston on June 19-22, 2007. The representation theory of Lie groups and its applications were a major focus of the talks."--BOOK JACKET.