Skew Schur Functions
Skew Schur functions sλ/μ depend on two partitions λ and μ, and can be defined by the property
Similar to the ordinary Schur polynomials, there are numerous ways to compute these. The correspinding Jacobi-Trudi identities are
- ,
- .
There is also a combinatorial interpretation of the skew Schur polynomials, namely it is a sum over all semi-standard Young tableaux (or column-strict tableaux) of the skew shape .
Read more about this topic: Schur Polynomial
Famous quotes containing the word functions:
“The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.”
—Ralph Waldo Emerson (1803–1882)