Constructing invariants for finite groups.
Plesken, W., Robertz, D. (2005)
Experimental Mathematics
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Plesken, W., Robertz, D. (2005)
Experimental Mathematics
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L. Makar-Limanov (2001)
Annales Polonici Mathematici
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In my talk I am going to remind you what is the AK-invariant and give examples of its usefulness. I shall also discuss basic conjectures about this invariant and some positive and negative results related to these conjectures.
Gerry W. Schwarz, David L. Wehlau (1998)
Annales de l'institut Fourier
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We consider problems in invariant theory related to the classification of four vector subspaces of an -dimensional complex vector space. We use castling techniques to quickly recover results of Howe and Huang on invariants. We further obtain information about principal isotropy groups, equidimensionality and the modules of covariants.
Larry Smith (1996)
Forum mathematicum
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Robert M. Fossum, Phillip A. Griffith (1975)
Annales scientifiques de l'École Normale Supérieure
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Kushpel', N.N. (2005)
Journal of Mathematical Sciences (New York)
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Haruhisa Nakajima (1983)
Mathematische Zeitschrift
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Sarti, Alessandra (2005)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 20F55, 13F20; Secondary 14L30. We construct invariant polynomials for the reflection groups [3, 4, 3] and [3, 3, 5] by using some special sets of lines on the quadric P1 × P1 in P3. Then we give a simple proof of the well known fact that the ring of invariants are rationally generated in degree 2,6,8,12 and 2,12,20,30.
Dhooghe, Paul F. (2003)
International Journal of Mathematics and Mathematical Sciences
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Ines Abdeljaouad (2010)
RAIRO - Theoretical Informatics and Applications
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We introduce in this article a new method to calculate all absolute and relatif primitive invariants of finite groups. This method is inspired from K. Girstmair which calculate an absolute primitive invariant of minimal degree. Are presented two algorithms, the first one enable us to calculate all primitive invariants of minimal degree, and the second one calculate all absolute or relative primitive invariants with distincts coefficients. This work take place in Galois Theory and Invariant...
Kei-ichi Watanabe, Denis Rotillon (1982)
Manuscripta mathematica
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