Supermanifolds and supergroups: basic theory

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Kluwer Academic Publishers,
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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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Grouped Work ID f9064f08-ea35-9dcb-436b-463ab88cafde
full_title supermanifolds and supergroups basic theory
author tuynman g m
grouping_category book
lastUpdate 2017-08-14 05:04:37AM

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author Tuynman, G. M.
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publishDate 2004
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series Mathematics and its applications
series_with_volume Mathematics and its applications|v. 570.
title_display Supermanifolds and supergroups basic theory
title_full Supermanifolds and supergroups [electronic resource] : basic theory / Gijs M. Tuynman
title_short Supermanifolds and supergroups
title_sub basic theory