Quaternion algebras and quadratic forms

==introduction

• an example of a central simple algebra (see Brauer group)
  
• classification of quaternion algebras over fields
  
• division algebra
• matrix algebra
• http://www.maths.tcd.ie/pub/ims/bull57/S5701.pdf
• Quaternion algebras and quadratic forms, Master's thesis, Zi Yang Sham, University of Waterloo
• www.math.virginia.edu/~ww9c/kranec.pdf