  The theory of the column-row determinants has been considered for matrices
over a non-split quaternion algebra. In this paper the concepts of column-row
determinants are extending to a split quaternion algebra. New definitions of
the column and row immanants (permanents) for matrices over a non-split
quaternion algebra are introduced, and their basic properties are investigated.
The key theorem about the column and row immanants of a Hermitian matrix over a
split quaternion algebra is proved. Based on this theorem an immanant of a
Hermitian matrix over a split quaternion algebra is introduced.
