Supermanifolds and Supergroups Basic Theory /

• Main Author: Tuynman, Gijs M. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Dordrecht : Springer Netherlands, 2005.
• Series: Mathematics and Its Applications ; 570
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Differential geometry.; Differential Geometry.; Topological Groups, Lie Groups.; Non-associative Rings and Algebras.

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 fi...

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.