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Supermanifolds and Supergroups: Basic Theory de Gijs M. Tuynman

Supermanifolds and Supergroups: Basic Theory: Mathematics and Its Applications, cartea 570

Autor Gijs M. Tuynman
en Limba Engleză Hardback – 29 iun 2004
Supermanifolds and Supergroups explains the basic ingredients of super manifolds and super Lie groups. It starts with super linear algebra and follows with a treatment of super smooth functions and the basic definition of a super manifold. When discussing the tangent bundle, integration of vector fields is treated as well as the machinery of differential forms. For super Lie groups the standard results are shown, including the construction of a super Lie group for any super Lie algebra. The last chapter is entirely devoted to super connections.
The book requires standard undergraduate knowledge on super differential geometry and super Lie groups.
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Specificații

ISBN-13: 9781402022968
ISBN-10: 1402022964
Pagini: 416
Ilustrații: XIV, 416 p.
Dimensiuni: 156 x 232 x 22 mm
Greutate: 0.6 kg
Ediția:2004
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Mathematics and Its Applications

Locul publicării:Dordrecht, Netherlands

Public țintă

Research

Cuprins

$$ \mathfrak{A} $$ -graded commutative linear algebra.- Linear algebra of free graded A-modules.- Smooth functions and A-manifolds.- Bundles.- The tangent space.- A-Lie groups.- Connections.

Recenzii

From the reviews:
"The author provides an introduction to the theory of supermanifolds … . The book is written in a logical order and it is self-contained. … The list of references indicates also where in the book the reference is quoted. Therefore, I find this book very useful, a true instrument of reference and study. It can be read by graduate students in mathematics and physics and by anyone interested in this subject and it presents in very pleasant and accessible manner all the basics … ." (Eugen Pascu, Zentralblatt MATH, Vol. 1083 (9), 2006)
"This book is an introduction to super differential geometry at the level of graduate studies in mathematics and theoretical physics. … the book presents in a clear and precise way difficult notions and theories about supermanifolds and supergroups. It will be easily readable by the people for whom it is intended, i.e. graduate students in mathematics and theoretical physics … . It is self-contained … . the book will be very useful for both beginners and active researchers in the field of supermanifolds and supergroups." (Anargyros Fellouris, Mathematical Reviews, Issue 2005 k)