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Arithmetic of quaternion algebras - by Abdalla Said Nimer.

Arithmetic of quaternion algebras - by Abdalla Said Nimer.

Nimer, Abdalla Said.
URI: http://hdl.handle.net/10938/8764
Date: 2011

Abstract:

If K is a field whose characteristic is not 2, a quaternion algebra over K is a an algebra over the basis [1,i,j,ij] where i and j satisfy the relations: i2=a j2 =b ij=-ji for a,b in K*. It turns out that for general K, such a quaternion algebra is

Description:

 
Thesis (M.S.)--American University of Beirut, Department of Mathematics, 2011.;"Advisor : Dr. Kamal, Khuri-Makdisi, Professor, Mathematics Members of Committee : Dr. Hazar Abu-Khuzam, Professor, Mathematics Dr. Monique Azar, Assistant Professor, Mathema
 
Includes bibliographical references (leaf 83).
 

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