Hafnian, Permanent, Pfaffian, Determinant, Grassmann algebra
A close relationship between the determinant, the pfaffian, and the Grassmann algebra is well-known. In this paper, a similar relation between the permanent, the hafnian, and a commutative analogue of the Grassmann algebra is described. Using the latter, some new properties of the hafnian are proved.
"The Hafnian and a Commutative Analogue of the Grassmann Algebra",
Electronic Journal of Linear Algebra,
Volume 34, pp. 54-60.