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dc.contributor.authorBarry, Michael J. J.
dc.date.accessioned2017-12-20T15:22:34Z
dc.date.available2017-12-20T15:22:34Z
dc.date.issued2017-11-20
dc.identifier.citationBarry, M.J.J. (2017). Standard Jordan partitions with three parameters. Archiv der Mathematik 109. doi:10.1007/s00013-017-1125-1en_US
dc.identifier.issn0003-889X
dc.identifier.issne1420-8938
dc.identifier.urihttp://hdl.handle.net/10456/45395
dc.description.abstractWe extend previous work on standard two-parameter Jordan partitions by Barry (Commun Algebra 43:4231–4246, 2015) to three parameters. Let Jr denote an r×r matrix with minimal polynomial (t−1)r over a field F of characteristic p. For positive integers n1, n2, and n3 satisfying n1 ≤ n2 ≤ n3, the Jordan canonical form of the n1n2n3 × n1n2n3 matrix Jn1 ⊗ Jn2 ⊗ Jn3 has the form Jλ1 ⊕ Jλ2 ⊕···⊕ Jλm where λ1 ≥ λ2 ≥ ··· ≥ λm > 0 and m i=1 λi = n1n2n3. The partition λ(n1, n2, n3 : p)=(λ1, λ2,...,λm) of n1n2n3, which depends on n1, n2, n3, and p, will be called a Jordan partition. We will define what we mean by a standard Jordan partition and give necessary and sufficient conditions for its existence.en_US
dc.language.isoen_USen_US
dc.publisherSpringeren_US
dc.relation.ispartofArchiv der Mathematiken_US
dc.relation.isversionofhttp://doi.org/10.1007/s00013-017-1125-1en_US
dc.rightsThis article is published and restricted. Copyright is retained by publisher or authors. Contact the publisher for further use of this material.en_US
dc.subject20C20en_US
dc.subjectStandard Jordan partitionen_US
dc.titleStandard Jordan partitions with three parametersen_US
dc.description.versionPublished articleen_US
dc.contributor.departmentMathematicsen_US
dc.citation.volume109en_US
dc.identifier.doi10.1007/s00013-017-1125-1
dc.contributor.avlauthorBarry, Michael J. J.


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