Background Material on Linear Algebra

Part of the Cornerstones book series (COR)


In this chapter, we recall some basic definitions and facts concerning exterior products (which are essential in the discussion of differential forms in Sect.  9.5) and tensor products (which are essential in the discussion of holomorphic line bundles in Chap.  3). In this book, we mostly consider exterior and tensor products in vector spaces of dimension 1 or 2.


Vector Space Tensor Product Linear Algebra Dual Space Differential Form 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of MathematicsLehigh UniversityBethlehemUSA
  2. 2.Department of MathematicsSUNY at BuffaloBuffaloUSA

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