Trace Rings of Generic 2 by 2 Matrices.

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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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.