RSS
- You are here:
- Research Repository UCD
- >
- College of Science
- >
- School of Mathematical Sciences
- >
- Search
JavaScript is disabled for your browser. Some features of this site may not work without it.
Search
Search Results for Collection: School of Mathematical Sciences
Now showing items 1-5 of 5
-
(Elsevier, 2010-07)In 1976 Procesi and Schacher developed an Artin–Schreier type theory for central simple algebras with involution and conjectured that in such an algebra a totally positive element is always a sum of hermitian squares. In ...
-
(Elsevier, 2007)Lewis' and Leep's bounds on the level and sublevel of quaternion algebras are extended to the class of composition algebras. Some simple constructions of composition algebras of known level values are given. In addition, ...
-
(Birkhäuser, 2008)In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields. In this paper, the level and sublevel of composition algebras, of ...
-
(Royal Irish Academy, 2010)Certain families of quaternion and octonion algebras are conjectured to be of level and sublevel n. A proof of this conjecture is offered in the case where n is a power of two. Hoffmann's proof of the existence of infinitely ...
-
(Elsevier, 2012-07-01)The question of which quadratic forms become isotropic when extended to the function field of a given form is studied. A formula for the minimum dimension of the minimal isotropic forms associated to such extensions is ...
Now showing items 1-5 of 5