The Alternative Operad Is Not Koszul

In the online compendium [Loday 07], it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Experimental mathematics 2011-01, Vol.20 (2), p.138-144
Hauptverfasser: Dzhumadil'daev, Askar, Zusmanovich, Pasha
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 144
container_issue 2
container_start_page 138
container_title Experimental mathematics
container_volume 20
creator Dzhumadil'daev, Askar
Zusmanovich, Pasha
description In the online compendium [Loday 07], it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.
doi_str_mv 10.1080/10586458.2011.544558
format Article
fullrecord <record><control><sourceid>crossref_proje</sourceid><recordid>TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_em_1317924405</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>10_1080_10586458_2011_544558</sourcerecordid><originalsourceid>FETCH-LOGICAL-c409t-3b321552c7ca93ae12ced58724125c0ae6ca55151e5902c3f1359c6e97943eda3</originalsourceid><addsrcrecordid>eNp9kMFKAzEQhoMoWKtv4GEPXrdmkkx3c5JStBYXe2nBW4jZWdyybUqyVerT26Wt3jz9w_DPN_Axdgt8ADzn98AxHyrMB4IDDFApxPyM9UArlWrkb-f7eV9Ju84lu4pxyTko1HmP3c0_KBk1LYW1betPSmYbCrZMpjF59W3y4uP3trlmF5VtIt0cs88WT4_z8XNazCbT8ahIneK6TeW7FIAoXOaslpZAOCoxz4QCgY5bGjqLCAiEmgsnK5Co3ZB0ppWk0so-ezhwN8EvybW0dU1dmk2oVzbsjLe1GS-K4_YUKwMSMi2U4rgnqAPBBR9joOr3GLjpXJmTK9O5MgdXf4_rdeXDyn750JSmtbvGhyrYtaujkf8SfgA8mW7a</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>The Alternative Operad Is Not Koszul</title><source>Access via Taylor &amp; Francis</source><source>EZB-FREE-00999 freely available EZB journals</source><source>Project Euclid Complete</source><creator>Dzhumadil'daev, Askar ; Zusmanovich, Pasha</creator><creatorcontrib>Dzhumadil'daev, Askar ; Zusmanovich, Pasha</creatorcontrib><description>In the online compendium [Loday 07], it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.</description><identifier>ISSN: 1058-6458</identifier><identifier>EISSN: 1944-950X</identifier><identifier>DOI: 10.1080/10586458.2011.544558</identifier><language>eng</language><publisher>Taylor &amp; Francis Group</publisher><subject>05A05 ; 16N40 ; 16S37 ; 17-04 ; 17D05 ; 17DI5 ; 18D50 ; 65F99 ; Alternative operad ; Koszulity ; Poincaré series ; Primary 17D05 ; right-alternative operad ; Secondary 05A05</subject><ispartof>Experimental mathematics, 2011-01, Vol.20 (2), p.138-144</ispartof><rights>Copyright Taylor &amp; Francis Group, LLC 2011</rights><rights>Copyright 2011 A K Peters, Ltd.</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c409t-3b321552c7ca93ae12ced58724125c0ae6ca55151e5902c3f1359c6e97943eda3</citedby><cites>FETCH-LOGICAL-c409t-3b321552c7ca93ae12ced58724125c0ae6ca55151e5902c3f1359c6e97943eda3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.tandfonline.com/doi/pdf/10.1080/10586458.2011.544558$$EPDF$$P50$$Ginformaworld$$H</linktopdf><linktohtml>$$Uhttps://www.tandfonline.com/doi/full/10.1080/10586458.2011.544558$$EHTML$$P50$$Ginformaworld$$H</linktohtml><link.rule.ids>230,314,780,784,885,926,27924,27925,59647,60436</link.rule.ids></links><search><creatorcontrib>Dzhumadil'daev, Askar</creatorcontrib><creatorcontrib>Zusmanovich, Pasha</creatorcontrib><title>The Alternative Operad Is Not Koszul</title><title>Experimental mathematics</title><description>In the online compendium [Loday 07], it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.</description><subject>05A05</subject><subject>16N40</subject><subject>16S37</subject><subject>17-04</subject><subject>17D05</subject><subject>17DI5</subject><subject>18D50</subject><subject>65F99</subject><subject>Alternative operad</subject><subject>Koszulity</subject><subject>Poincaré series</subject><subject>Primary 17D05</subject><subject>right-alternative operad</subject><subject>Secondary 05A05</subject><issn>1058-6458</issn><issn>1944-950X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kMFKAzEQhoMoWKtv4GEPXrdmkkx3c5JStBYXe2nBW4jZWdyybUqyVerT26Wt3jz9w_DPN_Axdgt8ADzn98AxHyrMB4IDDFApxPyM9UArlWrkb-f7eV9Ju84lu4pxyTko1HmP3c0_KBk1LYW1betPSmYbCrZMpjF59W3y4uP3trlmF5VtIt0cs88WT4_z8XNazCbT8ahIneK6TeW7FIAoXOaslpZAOCoxz4QCgY5bGjqLCAiEmgsnK5Co3ZB0ppWk0so-ezhwN8EvybW0dU1dmk2oVzbsjLe1GS-K4_YUKwMSMi2U4rgnqAPBBR9joOr3GLjpXJmTK9O5MgdXf4_rdeXDyn750JSmtbvGhyrYtaujkf8SfgA8mW7a</recordid><startdate>20110101</startdate><enddate>20110101</enddate><creator>Dzhumadil'daev, Askar</creator><creator>Zusmanovich, Pasha</creator><general>Taylor &amp; Francis Group</general><general>A K Peters, Ltd</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20110101</creationdate><title>The Alternative Operad Is Not Koszul</title><author>Dzhumadil'daev, Askar ; Zusmanovich, Pasha</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c409t-3b321552c7ca93ae12ced58724125c0ae6ca55151e5902c3f1359c6e97943eda3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>05A05</topic><topic>16N40</topic><topic>16S37</topic><topic>17-04</topic><topic>17D05</topic><topic>17DI5</topic><topic>18D50</topic><topic>65F99</topic><topic>Alternative operad</topic><topic>Koszulity</topic><topic>Poincaré series</topic><topic>Primary 17D05</topic><topic>right-alternative operad</topic><topic>Secondary 05A05</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dzhumadil'daev, Askar</creatorcontrib><creatorcontrib>Zusmanovich, Pasha</creatorcontrib><collection>CrossRef</collection><jtitle>Experimental mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dzhumadil'daev, Askar</au><au>Zusmanovich, Pasha</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The Alternative Operad Is Not Koszul</atitle><jtitle>Experimental mathematics</jtitle><date>2011-01-01</date><risdate>2011</risdate><volume>20</volume><issue>2</issue><spage>138</spage><epage>144</epage><pages>138-144</pages><issn>1058-6458</issn><eissn>1944-950X</eissn><abstract>In the online compendium [Loday 07], it is asked whether the alternative operad is Koszul. The purpose of this note is to demonstrate that the answer to this question is negative. In doing so, we have been aided by the programs Albert and PARI/GP.</abstract><pub>Taylor &amp; Francis Group</pub><doi>10.1080/10586458.2011.544558</doi><tpages>7</tpages><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier ISSN: 1058-6458
ispartof Experimental mathematics, 2011-01, Vol.20 (2), p.138-144
issn 1058-6458
1944-950X
language eng
recordid cdi_projecteuclid_primary_oai_CULeuclid_euclid_em_1317924405
source Access via Taylor & Francis; EZB-FREE-00999 freely available EZB journals; Project Euclid Complete
subjects 05A05
16N40
16S37
17-04
17D05
17DI5
18D50
65F99
Alternative operad
Koszulity
Poincaré series
Primary 17D05
right-alternative operad
Secondary 05A05
title The Alternative Operad Is Not Koszul
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-25T13%3A37%3A01IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-crossref_proje&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=The%20Alternative%20Operad%20Is%20Not%20Koszul&rft.jtitle=Experimental%20mathematics&rft.au=Dzhumadil'daev,%20Askar&rft.date=2011-01-01&rft.volume=20&rft.issue=2&rft.spage=138&rft.epage=144&rft.pages=138-144&rft.issn=1058-6458&rft.eissn=1944-950X&rft_id=info:doi/10.1080/10586458.2011.544558&rft_dat=%3Ccrossref_proje%3E10_1080_10586458_2011_544558%3C/crossref_proje%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true