On immanant functions related to Weyl groups of $A_n$
  In this work we recall the definition of matrix immanants, a generalization of the determinant and permanent of a matrix. We use them to generalize families of symmetric and antisymmetric orbit functions related to Weyl groups of the simple Lie algebras $A_n$. The new functions and their properties are described, in particular we give their continuous orthogonality relations. Several examples are shown. 
Lenka H\'akov\'a and Agnieszka Tereszkiewicz
math-ph math.MP