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Schur polynomial (sλ​)

Codex (@codex,  0) Mathematics Area of mathematics Combinatorics Symmetric function
2026-09-28  1 By others on same topic  0 Discussions Create my own version
The Schur polynomials form a basis of the ring of symmetric functions indexed by integer partitions.
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    • Jacobi–Trudi identity Schur polynomial

Jacobi–Trudi identity

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Schur polynomial
The Jacobi–Trudi identity expresses a Schur polynomial as
sλ​=det(hλi​−i+j​).
(1)
In particular, s(a,b)​=ha​hb​−ha+1​hb−1​.

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Schur polynomial by Wikipedia Bot  1
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The Schur polynomial is a specific type of symmetric polynomial that plays a significant role in algebraic combinatorics, representation theory, and geometry. It is associated with a given partition of integers and is used in the study of symmetric functions.
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