𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Additive commutators of rational 2×2 matrices

✍ Scribed by Olga Taussky

Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
297 KB
Volume
12
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Commuting Pairs in the Centralizers of 2
Commuting Pairs in the Centralizers of 2-Regular Matrices
✍ Michael G Neubauer; B.A Sethuraman 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 72 KB

In M k , k an algebraically closed field, we call a matrix l-regular if each n eigenspace is at most l-dimensional. We prove that the variety of commuting pairs in the centralizer of a 2-regular matrix is the direct product of various affine spaces and various determinantal varieties Z Z obtained fr

Invariants of 2×2-Matrices over Finite F
Invariants of 2×2-Matrices over Finite Fields
✍ Larry Smith 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 114 KB

Let F q be the finite field with q elements, q ¼ p n ; p 2 N a prime, and Mat 2:2 ðF q Þ the vector space of 2 Â 2-matrices over F. The group GLð2; FÞ acts on Mat 2;2 ðF q Þ by conjugation. In this note, we determine the invariants of this action. In contrast to the case of an infinite field, where