Completeness of the polynomial invariants of compact groups
G. Łubczonok (1973)
Annales Polonici Mathematici
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Displaying similar documents to “On Noether's bound for polynomial invariants of a finite group.”
Completeness of the polynomial invariants of compact groups
An analytical approach to Cayley-Hamilton theorem
Luiz C. Martins (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
Strong Band sum and dichromatic invariants.
Uwe Kaiser (1992)
Manuscripta mathematica
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On the structure of the Selberg class, IV: basic invariants
J. Kaczorowski, A. Perelli (2002)
Acta Arithmetica
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Concordance invariance of coefficients of Conway's link polynomial.
T.D. Cochran (1985)
Inventiones mathematicae
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An analytical approach to Cayley-Hamilton theorem
Luiz C. Martins (1987)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
Similarity:
Cayley-Hamilton theorem is proved by an analytical approach by recalling certain interesting properties of density. In this process, the classical expressions of the principal invariants follow immediately from the proposed proof's scheme.
Finite type invariants for cyclic equivalence classes of nanophrases
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.
Vassiliev Invariants of Doodles, Ornaments, Etc.
Alexander B. Merkov (1999)
Publications de l'Institut Mathématique
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Jacobians and invariants.
George R. Kempf (1993)
Inventiones mathematicae
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A conjecture on Khovanov's invariants
Stavros Garoufalidis (2004)
Fundamenta Mathematicae
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We formulate a conjectural formula for Khovanov's invariants of alternating knots in terms of the Jones polynomial and the signature of the knot.
Invariants of -type links via an extension of the Kauffman bracket.
Kulish, P.P., Nikitin, A.M. (2000)
Zapiski Nauchnykh Seminarov POMI
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Some New Invariants of Links.
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
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A measure-theoretic approach to the invariants of the Selberg class
J. Kaczorowski, A. Perelli (2008)
Acta Arithmetica
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The Kontsevich integral and re-normalized link invariants arising from Lie superalgebras
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.
Link invariants from finite racks
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.
The ring of upper triangular invariants as a module over the Dickson invariants.
H.E.A. Campbell, I.P. Hughes (1996)
Mathematische Annalen
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On the Kauffman polynomial of an adequate link.
Morwen B. Thistlethwaite (1988)
Inventiones mathematicae
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The determinant of oriented rotants
Adam H. Piwocki (2007)
Colloquium Mathematicae
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We study the determinant of pairs of rotants of Anstee, Przytycki and Rolfsen. We consider various notions of rotant orientations.