Trace rings of generic 2 by 2 matrices

Trace rings of generic 2 by 2 matrices / Lieven Le Bruyn.

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Bibliographic Details
Main Author: Le Bruyn, Lieven, 1958- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island, United States : American Mathematical Society, 1987.
Series:Memoirs of the American Mathematical Society ; Volume 66, no. 363.
Subjects:
Rings (Algebra)
Clifford algebras.
Forms (Mathematics)
Matrices.
Clifford algebras
Matrices
Online Access:Click for online access
Table of Contents:
  • Intro
  • Contents
  • Acknowledgement
  • Introduction
  • Chapter 1: Invariant theory
  • Introduction
  • Invariant theory
  • The orthogonal groups
  • Description of the center
  • Description of the trace ring
  • Chapter 2: Quadratic forms
  • Introduction
  • Quadratic forms and Clifford algebras
  • Generic Clifford algebras
  • The prime ideal structure
  • Classgroups
  • Chapter 3: Homological algebra
  • Introduction
  • Some homological algebra
  • Describing sets for ideals
  • Cohen-Macaulay quotients
  • Trace rings revisited
  • Chapter 4: Poincaré series
  • Introduction
  • Poincaré series
  • The functional equation
  • Regularity
  • Explicit computations
  • References.

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