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Results tagged with invariant-theory
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user 26700
Invariant theory deals with an algebraic, geometric or analytic structure $X$, submitted to the action of an (algebraic) group $G$. It studies $G$-invariant elements of $X$ as well as the set of $G$-orbits.
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Generators of the algebra of symmetric polynomials over finite fields
Let $F$ be a finite field and $A$ be the algebra of symmetric polynomials on $x_1,\dots,x_n$ over $F$. What is known about the generators of $A$ except the elementary symmetric polynomials? In particu …
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