Immanant of a matrix
- Immanant redirects here; it should not be confused with the philosophical immanent.
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
The permanent is the case where is the trivial character, which is identically equal to 1.
- D.E. Littlewood; A.R. Richardson (1934). "Group characters and algebras". Philosophical Transactions of the Royal Society A 233 (721–730): 99–124. doi:10.1098/rsta.1934.0015.
- D.E. Littlewood (1950). The Theory of Group Characters and Matrix Representations of Groups (2nd ed.). Oxford Univ. Press (reprinted by AMS, 2006). p. 81.