2021/03/05 by Jaime L. O. Chamorro, Chamorro, Jaime L. O.
Mathematics · #2020 51M09 E #Advanced Topics in Algebra #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.2103.03848
openalex publication_date 2021/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a classification of the matrices in the unitary group U(1,1;H),where H is the division ring of the real quaternions. To this end, we consider the complex representation phi(P) for P in U(1,1;H). Next, we compute the characteristic polynomial f of the 4x4 complex matrix phi(P) and then study the sign of the resultant of f and its derivative f'.