Category

Invariant theory

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polynomial ring

ring of polynomials (with one or several variables) with coefficients in a given ring

Hilbert's basis theorem

invariant theory

mathematical study of invariants under symmetries

Newton's identities

relations between power sums and elementary symmetric functions

particular generating subset of an ideal in a polynomial ring

geometric space whose points represent algebro-geometric objects of some fixed kind

Hilbert's fourteenth problem

Are certain algebras finitely generated

Schur polynomial

Type of symmetric polynomials in mathematics

Riemann invariant

quantity that is constant along characteristic curves in a system of conservation equations

Capelli's identity

an analogue of the formula det(AB) = det(A) det(B), for matrices with noncommuting entrie

Quantum invariant

concept in mathematical knot theory