Mathematics and Its Applications

Supermanifolds and Supergroups

Basic Theory

Authors: Tuynman, Gijs M.

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eBook 83,29 €
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  • ISBN 978-1-4020-2297-5
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Hardcover 135,19 €
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  • ISBN 978-1-4020-2296-8
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Softcover 103,99 €
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  • ISBN 978-90-481-6632-9
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About this book

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.

Reviews

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)


Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-1-4020-2297-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 135,19 €
price for Spain (gross)
  • ISBN 978-1-4020-2296-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-90-481-6632-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Supermanifolds and Supergroups
Book Subtitle
Basic Theory
Authors
Series Title
Mathematics and Its Applications
Series Volume
570
Copyright
2004
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-2297-5
DOI
10.1007/1-4020-2297-2
Hardcover ISBN
978-1-4020-2296-8
Softcover ISBN
978-90-481-6632-9
Edition Number
1
Number of Pages
XIV, 416
Topics