Special numbers, special quaternions and special symbol elements

2017/12/05 by Savin, Diana
#Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1712.01941

Abstract

\small In this paper we define and we study properties of (l,1,p+2q,q⋅ l) - \small numbers, (l,1,p+2q,q⋅ l) - \small quaternions, (l,1,p+2q,q⋅ l) - \small symbol elements. Finally, we obtain an algebraic structure with these elements.

Related

• Some remarks regarding a, b, x0, x1 numbers and a, b, x0, x1 quaternions
• About division quaternion algebras and division symbol algebras
• About special elements in quaternion algebras over finite fields
• Quaternions and universal quadratic forms over number fields
• Some properties of the symbol algebras