LeBruyn, Lieven. <br/><br/>
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 .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470407797 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Rings (Algebra).<br/>Clifford algebras.<br/>Forms (Mathematics).<br/>Matrices.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA3 -- .L437 1987eb 
<br/><br/><label>Dewey Class. No.: </label>512/.57