TY - BOOK AU - LeBruyn,Lieven TI - Trace Rings of Generic 2 by 2 Matrices T2 - Memoirs of the American Mathematical Society SN - 9781470407797 AV - QA3 -- .L437 1987eb U1 - 512/.57 PY - 1987/// CY - Providence PB - American Mathematical Society KW - Rings (Algebra) KW - Clifford algebras KW - Forms (Mathematics) KW - Matrices KW - Electronic books N1 - 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 UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114014 ER -