Immanant of a matrix
(重定向自Immanant)
- Immanant redirects here; it should not be confused with the philosophical immanent.
In mathematics, the immanant of a matrix was defined by Dudley E. Littlewood and Archibald Read Richardson as a generalisation of the concepts of determinant and permanent.
Let be a partition of
and let
be the corresponding irreducible representation-theoretic character of the symmetric group
. The immanant of an
matrix
associated with the character
is defined as the expression