Schur Polynomial - Skew Schur Functions

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

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