A notion of rank for noncommutative quadratic forms on four generators

2019/10/20 by Padmini Veerapen, Veerapen, Padmini, Jessica Cain +3
Mathematics · #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1910.09012

openalex publication_date 2019/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we extend previous work, where a notion of rank, called mu-rank, was proposed for noncommutative quadratic forms on two and three generators. In particular, we provide a definition of mu-rank one and two for noncommutative quadratic forms on four generators.

Related

• The rank of new regular quadratic forms
• Border rank of powers of ternary quadratic forms
• Symmetric rank of some reducible forms
• Upper bounds for the rank of powers of quadrics
• Representations of finite number of quadratic forms with same rank