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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C. Robin Graham (1987)
Compositio Mathematica
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Dhooghe, Paul F. (2003)
International Journal of Mathematics and Mathematical Sciences
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C. T. C. Wall (1998)
Rendiconti del Seminario Matematico della Università di Padova
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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.
Yuka Kotorii (2014)
Fundamenta Mathematicae
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We define finite type invariants for cyclic equivalence classes of nanophrases and construct universal invariants. Also, we identify the universal finite type invariant of degree 1 essentially with the linking matrix. It is known that extended Arnold basic invariants to signed words are finite type invariants of degree 2, by Fujiwara's work. We give another proof of this result and show that those invariants do not provide the universal one of degree 2.
Nathan Geer (2014)
Banach Center Publications
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We show that the coefficients of the re-normalized link invariants of [3] are Vassiliev invariants which give rise to a canonical family of weight systems.
Oliver E. Glenn (1950)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Sam Nelson (2014)
Fundamenta Mathematicae
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We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
Betten, Josef (1982)
International Journal of Mathematics and Mathematical Sciences
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Halmschlager, Andrea, Szenthe, László, Tóth, János (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Lieberum, Jens (2000)
Documenta Mathematica
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