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Linear Superalgebra

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2230))

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.

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Keßler, E. (2019). Linear Superalgebra. In: Supergeometry, Super Riemann Surfaces and the Superconformal Action Functional. Lecture Notes in Mathematics, vol 2230. Springer, Cham. https://doi.org/10.1007/978-3-030-13758-8_2

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