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Quadratic Algebras Book

Quadratic Algebras
Quadratic Algebras, Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this , Quadratic Algebras has a rating of 3 stars
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Quadratic Algebras, Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this , Quadratic Algebras
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  • Quadratic Algebras
  • Written by author A. Polishchuk
  • Published by American Mathematical Society, December 2005
  • Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this
  • The authors offer their exposition in the theory of quadratic and Koszul algebras, including various definitions for Koszulness, duality theory, Poincare-Birkhoff-Witt theorems for Koszul algebras, and the Koszul deformation principle. They also describe
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Book Categories

Authors

Ch. 1Preliminaries1
Ch. 2Koszul algebras and modules19
Ch. 3Operations on graded algebras and modules55
Ch. 4Poincare-Birkhoff-Witt bases81
Ch. 5Nonhomogeneous quadratic algebras101
Ch. 6Families of quadratic algebras and Hilbert series119
Ch. 7Hilbert series of Koszul algebras and one-dependent processes133
App. ADG-algebras and Massey products153


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Quadratic Algebras, Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this , Quadratic Algebras

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Quadratic Algebras, Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this , Quadratic Algebras

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Quadratic Algebras, Quadratic algebras, i.e., algebras defined by quadratic relations, often occur in various areas of mathematics. One of the main problems in the study of these (and similarly defined) algebras is how to control their size. A central notion in solving this , Quadratic Algebras

Quadratic Algebras

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