Unipotent invariant matrices Academic Article uri icon

abstract

  • We describe the variety of fixed points of a unipotent operator acting on the space of matrices. We compute the determinant and the rank of a generic (symmetric, or anti-symmetric) matrix in the fixed variety, yielding information about the generic singular locus of the corresponding bilinear form.

author list (cited authors)

  • Can, M. B., Howe, R., & Joyce, M.

citation count

  • 1

publication date

  • July 2013