Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Noncommutative Geometry and Cayley-smooth Orders

Noncommutative Geometry and Cayley-smooth Orders

Le Bruyn, Lieven

Hardcover

Series: Pure and Applied Mathematics

AlgebraGeneral MathematicsGeometry

ISBN10: 1420064223
ISBN13: 9781420064223
Publisher: CRC Press
Published: Sep 1 2007
Pages: 588
Weight: 2.45
Height: 1.49 Width: 6.49 Depth: 9.31
Language: English
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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