Recent content by c3po

  1. c3po

    Matrix representation of hexagon symmetry group

    Homework Statement Consider the set of operations in the plane that includes rotations by an angle about the origin and reflections about an axis through the origin. Find a matrix representation in terms of 2x2 matrices of the group of transformations (rotations plus reflections) that leaves...
    • c3po
    • Thread
    • Groups Hexagon Invariant Matrices Matrix Matrix algebra Reflection Representation Rotation Symmetry Transformations
    • Replies: 2
    • Forum: Calculus and Beyond Homework Help
  2. c3po

    Finding the members of the Lie algebra of SO (n)

    I figured this out for the case of a 2x2 rotational matrix, but how would I generalize this for nxn matrices?
  3. c3po

    Finding the members of the Lie algebra of SO (n)

    Homework Statement Show that the members of the Lie algebra of SO(n) are anti-symmetric nxn matrices. To start, assume that the nxn orthogonal matrix R which is an element of SO(n) depends on a single parameter t. Then differentiate the expression: R.RT= I with respect to the parameter t...
  4. c3po

    New member introduction

    Hello, all! I'm a new member here at Physics Forums. I have used this site to help me through some homework assignments and to understand abstract concepts. I look forward to learning more from other contributors and helping others when I can.
See more