Krein parameters of fiber-commutative coherent configurations
For fiber-commutative coherent configurations, we show that Krein parameters can be defined essentially uniquely. As a consequence, the general Krein condition reduces to positive semidefiniteness of finitely many matrices determined by the parameters of a coherent configuration. We mention its impl...
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| creator | Ito, Keiji Munemasa, Akihiro |
| description | For fiber-commutative coherent configurations, we show that Krein parameters
can be defined essentially uniquely. As a consequence, the general Krein
condition reduces to positive semidefiniteness of finitely many matrices
determined by the parameters of a coherent configuration. We mention its
implications in the coherent configuration defined by a generalized quadrangle.
We also simplify the absolute bound using the matrices of Krein parameters. |
| doi_str_mv | 10.48550/arxiv.1901.11484 |
| format | Article |
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can be defined essentially uniquely. As a consequence, the general Krein
condition reduces to positive semidefiniteness of finitely many matrices
determined by the parameters of a coherent configuration. We mention its
implications in the coherent configuration defined by a generalized quadrangle.
We also simplify the absolute bound using the matrices of Krein parameters.</description><identifier>DOI: 10.48550/arxiv.1901.11484</identifier><language>eng</language><subject>Mathematics - Combinatorics</subject><creationdate>2019-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1901.11484$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1901.11484$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Ito, Keiji</creatorcontrib><creatorcontrib>Munemasa, Akihiro</creatorcontrib><title>Krein parameters of fiber-commutative coherent configurations</title><description>For fiber-commutative coherent configurations, we show that Krein parameters
can be defined essentially uniquely. As a consequence, the general Krein
condition reduces to positive semidefiniteness of finitely many matrices
determined by the parameters of a coherent configuration. We mention its
implications in the coherent configuration defined by a generalized quadrangle.
We also simplify the absolute bound using the matrices of Krein parameters.</description><subject>Mathematics - Combinatorics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj71uwjAUhb10qGgfoFPzAkmvseMbDwwVamkFUpfskZ1cgyXyo5uAytsTaKdzdIaj7xPiRUKmizyHN8e_8ZxJCzKTUhf6Uay2TLFLBseupYl4TPqQhOiJ07pv29PkpnimpO4PxNRNc-lC3J94nvtufBIPwR1Hev7PhSg_P8r1V7r72Xyv33epM6hTubTWB90QGUVQeKgRVGNs7hHASg2NAQuYq-AQrQlFIxGBUCvyM2pQC_H6d3vnrwaOreNLdfOo7h7qCnX2Qqg</recordid><startdate>20190131</startdate><enddate>20190131</enddate><creator>Ito, Keiji</creator><creator>Munemasa, Akihiro</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20190131</creationdate><title>Krein parameters of fiber-commutative coherent configurations</title><author>Ito, Keiji ; Munemasa, Akihiro</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a674-1299bf4dee63e08b0c703d695b7009140d6090753fa7796f8d1770e743eb901f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Mathematics - Combinatorics</topic><toplevel>online_resources</toplevel><creatorcontrib>Ito, Keiji</creatorcontrib><creatorcontrib>Munemasa, Akihiro</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Ito, Keiji</au><au>Munemasa, Akihiro</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Krein parameters of fiber-commutative coherent configurations</atitle><date>2019-01-31</date><risdate>2019</risdate><abstract>For fiber-commutative coherent configurations, we show that Krein parameters
can be defined essentially uniquely. As a consequence, the general Krein
condition reduces to positive semidefiniteness of finitely many matrices
determined by the parameters of a coherent configuration. We mention its
implications in the coherent configuration defined by a generalized quadrangle.
We also simplify the absolute bound using the matrices of Krein parameters.</abstract><doi>10.48550/arxiv.1901.11484</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Combinatorics |
| title | Krein parameters of fiber-commutative coherent configurations |
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