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OverviewSupermanifolds 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. Full Product DetailsAuthor: Gijs M. TuynmanPublisher: Springer Imprint: Springer Edition: 1st ed. Softcover of orig. ed. 2004 Volume: 570 Dimensions: Width: 16.00cm , Height: 2.20cm , Length: 24.00cm Weight: 0.686kg ISBN: 9789048166329ISBN 10: 9048166322 Pages: 416 Publication Date: 28 October 2010 Audience: College/higher education , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents$$ \mathfrak{A} $$ -graded commutative linear algebra.- Linear algebra of free graded A-modules.- Smooth functions and A-manifolds.- Bundles.- The tangent space.- A-Lie groups.- Connections.ReviewsFrom 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) 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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