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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“Empirical science is apt to cloud the sight, and, by the very knowledge of functions and processes, to bereave the student of the manly contemplation of the whole.”
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