Sylvester versus Gundelfinger

Let $V_n$ be the ${m SL}_2$-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 $R = mathbb{C}[V]^{{m SL}_2}$ of polynomial functions on $V$ invariant under the action of ${m SL}_2$ equals 63. This settles a 143-year...

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Bibliographic Details
Main Authors: Andries E. Brouwer, Mihaela Popoviciu
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-10-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.075