Trace Rings of Generic 2 by 2 Matrices.
LeBruyn, Lieven.
Trace Rings of Generic 2 by 2 Matrices. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.66 . - Memoirs of the American Mathematical Society .
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.
9781470407797
Rings (Algebra).
Clifford algebras.
Forms (Mathematics).
Matrices.
Electronic books.
QA3 -- .L437 1987eb
512/.57
Trace Rings of Generic 2 by 2 Matrices. - 1st ed. - 1 online resource (110 pages) - Memoirs of the American Mathematical Society ; v.66 . - Memoirs of the American Mathematical Society .
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.
9781470407797
Rings (Algebra).
Clifford algebras.
Forms (Mathematics).
Matrices.
Electronic books.
QA3 -- .L437 1987eb
512/.57