Sylvester versus Gundelfinger

A.E. Brouwer; M. Popoviciu

doi:10.3842/SIGMA.2012.075

Sylvester versus Gundelfinger

A.E. Brouwer
, M. Popoviciu

Discrete Algebra and Geometry

Research output: Contribution to journal › Article › Academic › peer-review

2 Citations (Scopus)

114 Downloads (Pure)

Abstract

Let $V_n$ be the $\SLtwo$-module of binary forms of degree $n$ and let $V = V_1 \oplus V_3 \oplus V_4$.We show that the minimum number of generators of the algebra $R = \mathbb{C}[V]^{\SLtwo}$ of polynomial functions on $V$ invariant under the action of $\SLtwo$ equals 63. This settles a 143-year old question.

Original language	English
Article number	075
Pages (from-to)	1-7
Journal	Symmetry, Integrability and Geometry: Methods and Applications
Volume	8
DOIs	https://doi.org/10.3842/SIGMA.2012.075
Publication status	Published - 2012

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title = "Sylvester versus Gundelfinger",

abstract = "Let \$V\_n\$ be the \$\textbackslash{}SLtwo\$-module of binary forms of degree \$n\$ and let \$V = V\_1 \textbackslash{}oplus V\_3 \textbackslash{}oplus V\_4\$.We show that the minimum number of generators of the algebra \$R = \textbackslash{}mathbb\{C\}[V]\textasciicircum{}\{\textbackslash{}SLtwo\}\$ of polynomial functions on \$V\$ invariant under the action of \$\textbackslash{}SLtwo\$ equals 63. This settles a 143-year old question.",

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Sylvester versus Gundelfinger

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