MathProblemsBank

1.6.18 Fields, Groups, Rings

Problem: Are rings \( A \) and \( R \), where \( A \) is a set of complex matrices of the form \( \left(\begin{array}{cc}z & w \\ -\bar{W} & \bar{z}\end{array}\right) \), and \( R \) is a set of real matrices of the form \[ \left(\begin{array}{cccc} x & -y & -z & -t \\ y & x & -t & z \\ z & t & x & -y \\ t & -z & y & x \end{array}\right) ? \]