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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 075, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.075 (Mi sigma752) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Sylvester versus Gundelfinger

Andries E. Brouwera, Mihaela Popoviciub

a Department of Mathematics and Computer Science, Technische Universiteit Eindhoven, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
b Mathematisches Institut, Universität Basel, Rheinsprung 21, CH-4051 Basel, Switzerland
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DOI: https://doi.org/10.3842/SIGMA.2012.075
Abstract: Let $V_n$ be the $\mathrm{SL}_2$-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 $R = \mathbb C[V]^{\mathrm{SL}_2}$ of polynomial functions on $V$ invariant under the action of $\mathrm{SL}_2$ equals 63. This settles a 143-year old question.
Keywords: invariants; covariants; binary forms.
Received: July 18, 2012; in final form October 12, 2012; Published online October 19, 2012
Bibliographic databases:
Document Type: Article
MSC: 13A15; 68W30
Language: English
Citation: Andries E. Brouwer, Mihaela Popoviciu, “Sylvester versus Gundelfinger”, SIGMA, 8 (2012), 075, 7 pp.
Citation in format AMSBIB
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\paper Sylvester versus Gundelfinger
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    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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