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Noncommutative Geometry and Cayley-smooth Orders

Bag om Noncommutative Geometry and Cayley-smooth Orders

This book explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce étale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters contain the main results on Cayley-smooth orders, including semisimple and nilpotent representations. The final chapters study Quillen-smooth algebras via their finite dimensional representations.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9780367388706
  • Indbinding:
  • Paperback
  • Sideantal:
  • 592
  • Udgivet:
  • 23. september 2019
  • Størrelse:
  • 156x234x0 mm.
  • Vægt:
  • 453 g.
  • 8-11 hverdage.
  • 11. december 2024
På lager
Forlænget returret til d. 31. januar 2025

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Beskrivelse af Noncommutative Geometry and Cayley-smooth Orders

This book explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce étale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters contain the main results on Cayley-smooth orders, including semisimple and nilpotent representations. The final chapters study Quillen-smooth algebras via their finite dimensional representations.

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