Quadratic forms and levels of quaternion algebras

• Grant number: 11/20122-8
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2012
• End date: December 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Clotilzio Moreira dos Santos
• Grantee: Hellen Monção de Carvalho Santana
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil

Abstract

Study and research topics of the algebraic theory of quadratic forms. Then apply this theory techniques to calculate the levels of fields and quaternion algebras.(AU)