Higher rank elliptic partition functions and multisymmetric elliptic functions
We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonome...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Gerrard, Allan John Motegi, Kohei Sakai, Kazumitsu |
| description | We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition
functions which is an extension of the one introduced by Foda-Manabe. We
characterize the partition functions by a nested version of Izergin-Korepin
analysis, and determine the explicit forms, for each of the rational,
trigonometric and elliptic versions. The resulting multisymmetric functions can
be regarded as extensions of the rational, trigonometric and elliptic weight
functions. |
| doi_str_mv | 10.48550/arxiv.2412.13561 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2412_13561</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2412_13561</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2412_135613</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE00jM0NjUz5GTw88hMz0gtUihKzMtWSM3JySwoyUxWKEgsKsksyczPU0grzUsGMYoVEvNSFHJLc0oyiytzc1NLioDK4OrhqngYWNMSc4pTeaE0N4O8m2uIs4cu2Ob4gqLM3MSiyniQC-LBLjAmrAIAFZc9Qw</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Higher rank elliptic partition functions and multisymmetric elliptic functions</title><source>arXiv.org</source><creator>Gerrard, Allan John ; Motegi, Kohei ; Sakai, Kazumitsu</creator><creatorcontrib>Gerrard, Allan John ; Motegi, Kohei ; Sakai, Kazumitsu</creatorcontrib><description>We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition
functions which is an extension of the one introduced by Foda-Manabe. We
characterize the partition functions by a nested version of Izergin-Korepin
analysis, and determine the explicit forms, for each of the rational,
trigonometric and elliptic versions. The resulting multisymmetric functions can
be regarded as extensions of the rational, trigonometric and elliptic weight
functions.</description><identifier>DOI: 10.48550/arxiv.2412.13561</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics</subject><creationdate>2024-12</creationdate><rights>http://creativecommons.org/licenses/by/4.0</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/2412.13561$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2412.13561$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gerrard, Allan John</creatorcontrib><creatorcontrib>Motegi, Kohei</creatorcontrib><creatorcontrib>Sakai, Kazumitsu</creatorcontrib><title>Higher rank elliptic partition functions and multisymmetric elliptic functions</title><description>We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition
functions which is an extension of the one introduced by Foda-Manabe. We
characterize the partition functions by a nested version of Izergin-Korepin
analysis, and determine the explicit forms, for each of the rational,
trigonometric and elliptic versions. The resulting multisymmetric functions can
be regarded as extensions of the rational, trigonometric and elliptic weight
functions.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE00jM0NjUz5GTw88hMz0gtUihKzMtWSM3JySwoyUxWKEgsKsksyczPU0grzUsGMYoVEvNSFHJLc0oyiytzc1NLioDK4OrhqngYWNMSc4pTeaE0N4O8m2uIs4cu2Ob4gqLM3MSiyniQC-LBLjAmrAIAFZc9Qw</recordid><startdate>20241218</startdate><enddate>20241218</enddate><creator>Gerrard, Allan John</creator><creator>Motegi, Kohei</creator><creator>Sakai, Kazumitsu</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20241218</creationdate><title>Higher rank elliptic partition functions and multisymmetric elliptic functions</title><author>Gerrard, Allan John ; Motegi, Kohei ; Sakai, Kazumitsu</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2412_135613</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><toplevel>online_resources</toplevel><creatorcontrib>Gerrard, Allan John</creatorcontrib><creatorcontrib>Motegi, Kohei</creatorcontrib><creatorcontrib>Sakai, Kazumitsu</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gerrard, Allan John</au><au>Motegi, Kohei</au><au>Sakai, Kazumitsu</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Higher rank elliptic partition functions and multisymmetric elliptic functions</atitle><date>2024-12-18</date><risdate>2024</risdate><abstract>We introduce and investigate a class of $\mathfrak{gl}_{M+1}$ partition
functions which is an extension of the one introduced by Foda-Manabe. We
characterize the partition functions by a nested version of Izergin-Korepin
analysis, and determine the explicit forms, for each of the rational,
trigonometric and elliptic versions. The resulting multisymmetric functions can
be regarded as extensions of the rational, trigonometric and elliptic weight
functions.</abstract><doi>10.48550/arxiv.2412.13561</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2412.13561 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2412_13561 |
| source | arXiv.org |
| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics |
| title | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-12T06%3A28%3A13IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Higher%20rank%20elliptic%20partition%20functions%20and%20multisymmetric%20elliptic%20functions&rft.au=Gerrard,%20Allan%20John&rft.date=2024-12-18&rft_id=info:doi/10.48550/arxiv.2412.13561&rft_dat=%3Carxiv_GOX%3E2412_13561%3C/arxiv_GOX%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 |