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Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices

Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2091582934

Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices

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Full title

Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices

Publisher

Ithaca: Cornell University Library, arXiv.org

Journal title

arXiv.org, 2004-11

Language

English

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Publisher

Ithaca: Cornell University Library, arXiv.org

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Scope and Contents

Contents

We find explicitly the multiplicities in the (mixed) trace cocharacter sequence of two \(3\times 3\) matrices over a field of characteristic 0 and show that asymptotically they behave as polynomials of seventh degree. As a consequence we obtain also the multiplicities of certain irreducible characters in the cocharacter sequence of the polynomial i...

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Full title

Multiplicities in the mixed trace cocharacter sequence of two \(3\times 3\) matrices

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Record Identifier

TN_cdi_proquest_journals_2091582934

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2091582934

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E-ISSN

2331-8422

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