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Published in:
2019 | OriginalPaper | Chapter
2. Linear Superalgebra
Author : Enno Keßler
Published in: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional
Publisher: Springer International Publishing
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Abstract
The guiding principle in all supermathematics is that every object has an additional \(\mathbb {Z}_2\)-grading or parity. Whenever an odd object in any operation is passed over another odd object, it acquires an additional factor − 1.
The goal of this chapter is to describe the necessary pieces of linear superalgebra. A good understanding of linear superalgebra is necessary to understand the geometry to be treated in later chapters.