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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2012 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.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| _version_ | 1862583746540077056 |
|---|---|
| author | Brouwer, A.E. Popoviciu, M. |
| author_facet | Brouwer, A.E. Popoviciu, M. |
| citation_txt | Sylvester versus Gundelfinger / A.E. Brouwer, M. Popoviciu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2025-11-27T00:43:59Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148715 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T00:43:59Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Brouwer, A.E. Popoviciu, M. 2019-02-18T18:08:45Z 2019-02-18T18:08:45Z 2012 Sylvester versus Gundelfinger / A.E. Brouwer, M. Popoviciu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 13A15; 68W30 DOI: http://dx.doi.org/10.3842/SIGMA.2012.075 https://nasplib.isofts.kiev.ua/handle/123456789/148715 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. This paper is a contribution to the Special Issue “Symmetries of Dif ferential Equations: Frames, Invariants and Applications”. The full collection is available at http://www.emis.de/journals/SIGMA/SDE2012.html.
 The second author is partially supported by the Swiss National Science Foundation. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Sylvester versus Gundelfinger Article published earlier |
| spellingShingle | Sylvester versus Gundelfinger Brouwer, A.E. Popoviciu, M. |
| title | Sylvester versus Gundelfinger |
| title_full | Sylvester versus Gundelfinger |
| title_fullStr | Sylvester versus Gundelfinger |
| title_full_unstemmed | Sylvester versus Gundelfinger |
| title_short | Sylvester versus Gundelfinger |
| title_sort | sylvester versus gundelfinger |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148715 |
| work_keys_str_mv | AT brouwerae sylvesterversusgundelfinger AT popovicium sylvesterversusgundelfinger |