Postscript: Algebra

Abstract

This lengthy postscript summarizes definitions, results, and proofs from algebra, some of it used earlier in the book and some providing a broader cultural background. The self-contained account here is strongly steered towards uses we make in representation theory. This chapter may be read on its own, but the reader would have to be patient with the long lists of definitions. The choice of topics and results becomes most meaningful in the context of the rest of this book. We have left Galois theory as a field too vast, ein zu weites Feld, for us to explore [28].