Completeness of the polynomial invariants of compact groups

G. Łubczonok

Displaying similar documents to “Completeness of the polynomial invariants of compact groups”

On Noether's bound for polynomial invariants of a finite group.

Fogarty, John (2001)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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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 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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Invariants of a class of transformation groups II.

H. Schwerdtfeger (1978)

Aequationes 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

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Vassiliev Invariants of Doodles, Ornaments, Etc.

Alexander B. Merkov (1999)

Publications de l'Institut Mathématique

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Degree three cohomological invariants of semisimple groups

Alexander Merkurjev (2016)

Journal of the European Mathematical Society

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We study the degree 3 cohomological invariants with coefficients in $ℚ / ℤ (2)$ of a semisimple group over an arbitrary field. A list of all invariants of adjoint groups of inner type is given.

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.