Invariant of a binary form: Difference between revisions

Revision as of 23:36, 18 December 2010

Revision as of 17:28, 12 February 2011

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==References==

*{{Citation | last1=Brouwer | first1=Andries E. | last2=Popoviciu | first2=Mihaela | title=The invariants of the binary nonic | url=http://dx.doi.org/10.1016/j.jsc.2010.03.003 | doi=10.1016/j.jsc.2010.03.003 | id={{MR|2639312}} | year=2010a | journal=Journal of Symbolic Computation | issn=0747-7171 | volume=45 | issue=6 | pages=709–720}}

*{{Citation | last1=Brouwer | first1=Andries E. | last2=Popoviciu | first2=Mihaela | title=The invariants of the binary decimic | url=http://dx.doi.org/10.1016/j.jsc.2010.03.002 | doi=10.1016/j.jsc.2010.03.002 | id={{MR|2657667}} | year=2010b | journal=Journal of Symbolic Computation | issn=0747-7171 | volume=45 | issue=8 | pages=837–843}}

*{{Citation | last1=Dixmier | first1=Jacques | last2=Lazard | first2=D. | title=Minimum number of fundamental invariants for the binary form of degree 7 | doi=10.1016/S0747-7171(88)80026-9 | id={{MR|961375}} | year=1988 | journal=Journal of Symbolic Computation | issn=0747-7171 | volume=6 | issue=1 | pages=113–115}}

*{{Citation | last1=Gall | first1=F. von | title=Das vollständige Formensystem einer binären Form achter Ordnung | url=http://dx.doi.org/10.1007/BF01444117 | doi=10.1007/BF01444117 | id={{MR|1510048}} | year=1880 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=17 | issue=1 | pages=31–51}}

*{{Citation | last1=Gall | first1=Frhr v. | title=Das vollständige Formensystem der binären Form 7^terOrdnung | url=http://dx.doi.org/10.1007/BF01206218 | doi=10.1007/BF01206218 | id={{MR|1510486}} | year=1888 | journal=[[Mathematische Annalen]] | issn=0025-5831 | volume=31 | issue=3 | pages=318–336}}

*{{Citation | last1=Gordan | first1=Paul | title=Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Funktion mit numerischen Coeffizienten einer endlichen Anzahl solcher Formen ist. | doi=10.1515/crll.1868.69.323 | year=1868 | journal= J. f. Math | volume=69 | pages= 323–354}}

*{{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | url=http://books.google.com/books?isbn=0521449030|title=Theory of algebraic invariants | origyear=1897 | publisher=[[Cambridge University Press]] | isbn=978-0-521-44457-6 | id={{MR|1266168}} | year=1993}}

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*{{Citation | last1=Shioda | first1=Tetsuji | title=On the graded ring of invariants of binary octavics | url=http://www.jstor.org/stable/2373415 | id={{MR|0220738}} | year=1967 | journal=[[American Journal of Mathematics]] | issn=0002-9327 | volume=89 | pages=1022–1046}}

*{{Citation | last1=Sturmfels | first1=Bernd | author1-link=Bernd Sturmfels | title=Algorithms in invariant theory | publisher=[[Springer-Verlag]] | ___location=Berlin, New York | series=Texts and Monographs in Symbolic Computation | isbn=978-3-211-82445-0 | doi=10.1007/978-3-211-77417-5 | id={{MR|1255980}} | year=1993}}

*{{Citation | last1=Sylvester | first1=J. J. | author1-link=J. J. Sylvester | last2=Franklin | first2=F. | title=Tables of the Generating Functions and Groundforms for the Binary Quantics of the First Ten Orders | url=http://dx.doi.org/10.2307/2369240 | doi=10.2307/2369240 | id={{MR|1505222}} | year=1879 | journal=[[American Journal of Mathematics]] | issn=0002-9327 | volume=2 | issue=3 | pages=223–251}}

[[Category:invariant theory]]