Sylvester versus Gundelfinger

Let Vn be the SL₂-module of binary forms of degree n and let V=V₁⊕V₃⊕V₄. We show that the minimum number of generators of the algebra R=C[V]SL₂ of polynomial functions on V invariant under the action of SL₂ equals 63. This settles a 143-year old question.

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Bibliographic Details
Date:2012
Main Authors: Brouwer, A.E., Popoviciu, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148715
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Sylvester versus Gundelfinger / A.E. Brouwer, M. Popoviciu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine