شماره ركورد كنفرانس :
3503
عنوان مقاله :
Composition of quadratic forms and Clifford algebras
Author/Authors :
M. Gholamzadeh Mahmoudi Sharif University of Technology
كليدواژه :
quadratic forms , central simple algebras , Clifford algebras , composition algebras
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده لاتين :
In this talk we first give a historical overview of several proofs of the Hurwitz theorem on
composition of quadratic forms. One of the proofs of the Hurwitz theorem is due to C. Chevalley
and uses Clifford algebras. We then talk about a new proof of this theorem which uses Clifford
algebras in a different way from that of Chevalley.