Rank one polynomial modules over the quantum group of type A 1
In this article, we classify all rank one polynomial modules over the quantum groups and for generic q. We also provide the equivalent conditions for the simplicity of these modules.
Saved in:
| Published in: | Communications in algebra Vol. 50; no. 6; pp. 2418 - 2426 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Taylor & Francis
03.06.2022
|
| Subjects: | |
| ISSN: | 0092-7872, 1532-4125 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | In this article, we classify all rank one polynomial modules over the quantum groups
and
for generic q. We also provide the equivalent conditions for the simplicity of these modules. |
|---|---|
| AbstractList | In this article, we classify all rank one polynomial modules over the quantum groups
and
for generic q. We also provide the equivalent conditions for the simplicity of these modules. |
| Author | Hu, Naihong Feng, Ge Xia, Limeng |
| Author_xml | – sequence: 1 givenname: Limeng surname: Xia fullname: Xia, Limeng organization: Institute of Applied System Analysis, Jiangsu University – sequence: 2 givenname: Ge surname: Feng fullname: Feng, Ge organization: Shanghai Center for Mathematical Sciences, Fudan University – sequence: 3 givenname: Naihong surname: Hu fullname: Hu, Naihong organization: School of Mathematical Sciences, Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice, East China Normal University |
| BookMark | eNqFkNFKwzAUhoNMcJs-gpAX6EzSpk0RxDGcCgNB9DqcNYlG26SmqdK3d2Xzxgu9Oefm_76Lb4YmzjuN0DklC0oEuSCkZIUo2IIRRneHFGnJjtCU8pQlGWV8gqbjJhlHJ2jWdW-EUF4INkVXj-De8c6HW18PzjcWatx41de6w_5TBxxfNf7owcW-wS_B9y32Bseh1XiJ6Sk6NlB3-uzw5-h5ffO0uks2D7f3q-UmqRjjMakKyEVOCygzqrKtSDVRglc56JKbwmTbkqUKTJaZrVCck7zSmoHWygARjJN0ji733ir4rgvayMpGiNa7GMDWkhI5ppA_KeSYQh5S7Gj-i26DbSAM_3LXe84640MDXz7USkYYah9MAFfZTqZ_K74BffR3RA |
| CitedBy_id | crossref_primary_10_1016_j_jalgebra_2023_11_037 |
| Cites_doi | 10.1016/0001-8708(81)90058-X 10.1016/j.jalgebra.2014.09.031 10.1016/j.jalgebra.2016.02.020 10.1006/jabr.1997.7038 10.1016/j.jalgebra.2014.09.036 10.1016/j.jalgebra.2005.03.018 10.1016/j.jalgebra.2019.11.025 |
| ContentType | Journal Article |
| Copyright | 2021 Taylor & Francis Group, LLC 2021 |
| Copyright_xml | – notice: 2021 Taylor & Francis Group, LLC 2021 |
| DBID | AAYXX CITATION |
| DOI | 10.1080/00927872.2021.2007392 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1532-4125 |
| EndPage | 2426 |
| ExternalDocumentID | 10_1080_00927872_2021_2007392 2007392 |
| Genre | Research Article |
| GroupedDBID | -DZ -~X .7F .QJ 0BK 0R~ 29F 2DF 30N 4.4 5GY 5VS AAENE AAGDL AAHIA AAJMT AALDU AAMIU AAPUL AAQRR ABCCY ABFIM ABHAV ABJNI ABLIJ ABPAQ ABPEM ABTAI ABXUL ABXYU ACGEJ ACGFS ACTIO ADCVX ADGTB ADXPE AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFRVT AGDLA AGMYJ AHDZW AIJEM AIYEW AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AMVHM AQRUH AQTUD AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO DU5 EBS E~A E~B GTTXZ H13 HF~ HZ~ H~P IPNFZ J.P KYCEM LJTGL M4Z NA5 NY~ O9- P2P PQQKQ RIG RNANH ROSJB RTWRZ S-T SNACF TASJS TBQAZ TDBHL TEJ TFL TFT TFW TN5 TOXWX TTHFI TUROJ TWF UPT UT5 UU3 WH7 XSW ZGOLN ~S~ AAYXX CITATION |
| ID | FETCH-LOGICAL-c225t-c7a68617a941d4b83e0d85c6ae95f7f4b923daf44fb8d5506cee2aeedfa082503 |
| IEDL.DBID | TFW |
| ISSN | 0092-7872 |
| IngestDate | Tue Nov 18 21:41:19 EST 2025 Sat Nov 29 02:27:52 EST 2025 Mon Oct 20 23:47:31 EDT 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 6 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c225t-c7a68617a941d4b83e0d85c6ae95f7f4b923daf44fb8d5506cee2aeedfa082503 |
| PageCount | 9 |
| ParticipantIDs | crossref_citationtrail_10_1080_00927872_2021_2007392 informaworld_taylorfrancis_310_1080_00927872_2021_2007392 crossref_primary_10_1080_00927872_2021_2007392 |
| PublicationCentury | 2000 |
| PublicationDate | 6/3/2022 |
| PublicationDateYYYYMMDD | 2022-06-03 |
| PublicationDate_xml | – month: 06 year: 2022 text: 6/3/2022 day: 03 |
| PublicationDecade | 2020 |
| PublicationTitle | Communications in algebra |
| PublicationYear | 2022 |
| Publisher | Taylor & Francis |
| Publisher_xml | – name: Taylor & Francis |
| References | Jantzen J. C. (CIT0005) 1996 CIT0001 CIT0003 De Concini C. (CIT0004) 1989; 92 CIT0002 CIT0007 CIT0006 CIT0009 CIT0008 |
| References_xml | – ident: CIT0002 doi: 10.1016/0001-8708(81)90058-X – ident: CIT0008 doi: 10.1016/j.jalgebra.2014.09.031 – ident: CIT0003 doi: 10.1016/j.jalgebra.2016.02.020 – volume: 92 start-page: 471 volume-title: Operator Algebras, Unitary Representations, Enveloping Algebras, and Invariant Theory year: 1989 ident: CIT0004 – ident: CIT0001 doi: 10.1006/jabr.1997.7038 – ident: CIT0006 doi: 10.1016/j.jalgebra.2014.09.036 – ident: CIT0007 doi: 10.1016/j.jalgebra.2005.03.018 – ident: CIT0009 doi: 10.1016/j.jalgebra.2019.11.025 – volume-title: Lectures on Quantum Groups year: 1996 ident: CIT0005 |
| SSID | ssj0015782 |
| Score | 2.2842216 |
| Snippet | In this article, we classify all rank one polynomial modules over the quantum groups
and
for generic q. We also provide the equivalent conditions for the... |
| SourceID | crossref informaworld |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 2418 |
| SubjectTerms | Polynomial module quantum group simple module |
| Title | Rank one polynomial modules over the quantum group of type A 1 |
| URI | https://www.tandfonline.com/doi/abs/10.1080/00927872.2021.2007392 |
| Volume | 50 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVAWR databaseName: Taylor & Francis Online Journals customDbUrl: eissn: 1532-4125 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0015782 issn: 0092-7872 databaseCode: TFW dateStart: 19740101 isFulltext: true titleUrlDefault: https://www.tandfonline.com providerName: Taylor & Francis |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF6keNCDb7G-2IPXaLLZvC5CEYsHLSJVewv7BLGmtUkE_70zSRrag3rQ-05YZuedmW8IObNaCC5N6LBQJQ4XfuLIyEiHBTqIpPQsqwBMn26jwSAejZL7ppswb9oqMYe2NVBEZatRuYXM5x1xF4gTBHKGY1SsSvEicPJghcH1o2oO-8_tfwQEa69xKCGOBJL5DM93X1nyTkvYpQtep7_5D_fdIhtNyEl7tYxskxWT7ZD1uxavNd8llw8ie6WTzNDpZPyJk8pA8DbR5djkFJs8KRym7yU8Q_lGq0kQOrEU67e0R7098ti_Hl7dOM1mBUeB_haOikQYQ-wiEu5pLmPfuDoOVChMEtjIcglhnxaWcytjDTlMCK6UCXCnVmBK6fr7pJPBpQ4I9VQimHStEp7ksXLhFNNeiHkl2A8RdwmfczRVDew4br8Yp16LTlqzJ0X2pA17uuS8JZvWuBu_ESSLz5UWVcHD1ttJUv9H2sM_0B6RNYYTEViY8Y9Jp5iV5oSsqo_iJZ-dVtL4BcGL2YA |
| linkProvider | Taylor & Francis |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV07T8MwELagIAEDb0R5emANJI7zWpAqRAWi7YAKdItsJ5YQbVLaBIl_z12SRu0ADLD7i6zz2ffI3XeEXOhICC5j12CuCgwu7MCQXiwN5kSOJ6WlWUFg-tzxej1_MAjme2GwrBJjaF0SRRRvNV5uTEbPSuKukCgIFA37qFgR43lg5ZfJigO2Fvnz--2X-k8C0rWXTJTgSQJm1sXz3WcW7NMCe-mc3Wlv_ceOt8lm5XXSVqkmO2QpTnbJRrembJ3uketHkbzRNInpOB1-YrMyAEZplA_jKcU6TwqL6XsOJ5GPaNEMQlNNMYVLW9TaJ0_t2_7NnVENVzAUXOHMUJ5wfXBfRMCtiEvfjs3Id5Qr4sDRnuYSPL9IaM619CMIY1ywpkyARdUCo0rTPiCNBDZ1SKilAsGkqZWwJPeVCatYZLkYWsITIvwm4TORhqpiHscBGMPQqglKS_GEKJ6wEk-TXNawcUm98RsgmD-vMCtyHrocUBLaP2KP_oA9J2t3_W4n7Nz3Ho7JOsMGCczT2CekkU3y-JSsqo_sdTo5K1TzC6WX3ao |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV1LS8NAEF60iujBt1ife_AazWPzughFDYq1FKnaW9gniG1S20Tw3zubpKE9qAe97xeW2dmdR2a-QehMCUoJk55hezw0CHVCg_mSGbYrXJ8xS9kFgelz2-90gn4_7FbVhJOqrFLH0Kokiijean25R0JNK-IuNE8Q6Jluo7KLEM8HI7-IlsB19rSS96KX-keCZmsviSjBkQTMtInnu8_Mmac58tIZsxNt_MOGN9F65XPiVqkkW2hBJtto7aEmbJ3soMtHmrzhNJF4lA4-dasyAIapyAdygnWVJ4bF-D2Hc8iHuGgFwanCOoGLW9jaRU_RTe_q1qhGKxgcLnBmcJ96ATgvNCSWICxwpCkCl3tUhq7yFWHg9wmqCFEsEBDEeGBLbQr2VFEdU5rOHmoksKl9hC0eUpuZilOLkYCbsMoWlqcDS3hAaNBEZCrRmFe843r8xSC2anrSUjyxFk9ciaeJzmvYqCTe-A0Qzh5XnBUZD1WOJ4mdH7EHf8CeopXudRS37zr3h2jV1t0ROknjHKFGNs7lMVrmH9nrZHxSKOYXGCjcXA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Rank+one+polynomial+modules+over+the+quantum+group+of+type+A+1&rft.jtitle=Communications+in+algebra&rft.au=Xia%2C+Limeng&rft.au=Feng%2C+Ge&rft.au=Hu%2C+Naihong&rft.date=2022-06-03&rft.issn=0092-7872&rft.eissn=1532-4125&rft.volume=50&rft.issue=6&rft.spage=2418&rft.epage=2426&rft_id=info:doi/10.1080%2F00927872.2021.2007392&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00927872_2021_2007392 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0092-7872&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0092-7872&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0092-7872&client=summon |