The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators
We prove the existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators.
Uloženo v:
| Vydáno v: | Journal of pure and applied algebra Ročník 226; číslo 5; s. 106921 |
|---|---|
| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.05.2022
|
| Témata: | |
| ISSN: | 0022-4049, 1873-1376 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | We prove the existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators. |
|---|---|
| AbstractList | We prove the existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators. |
| ArticleNumber | 106921 |
| Author | Kasjan, Stanisław Kosakowska, Justyna |
| Author_xml | – sequence: 1 givenname: Stanisław surname: Kasjan fullname: Kasjan, Stanisław – sequence: 2 givenname: Justyna surname: Kosakowska fullname: Kosakowska, Justyna email: justus@mat.umk.pl |
| BookMark | eNp9kM1KAzEURoNUsK2-gKu8wNTcZP4KbqSoFQpu6jpkkhvMME2GZFrat3eGuu7qwgfncDkLMvPBIyHPwFbAoHxpV22v1IozDuNQrjnckTnUlchAVOWMzBnjPMtZvn4gi5RaxhiIvJyTZv-LFM8uDeg10mDpVnUd7UN38eHgVJeoDZGeedaEozdoqPMnFZ3yA03HJvVKY5ow77o-jJKBds6jijT0GNUQYnok93b04NP_XZKfj_f9Zpvtvj-_Nm-7THNeDJkplQbQZQ3MaIO5FRWCUVgJqwUUoCtVFQIablCxSlmwvKjHsSgQRY21WBJ-9eoYUopoZR_dQcWLBCanSrKVUyU5VZLXSiP0eoVw_OzkMMqk3ZTCuIh6kCa4W_gfiMd0tA |
| Cites_doi | 10.1090/S0002-9947-2014-06206-5 10.1007/978-1-4419-8750-1 10.1016/S0097-3165(03)00106-7 10.1016/j.jalgebra.2007.01.029 10.1515/CRELLE.2008.001 10.1007/s10468-010-9250-6 10.1007/s10468-010-9253-3 10.1006/jabr.1997.7113 10.1112/jlms/s1-43.1.280 10.1016/j.jalgebra.2017.07.025 |
| ContentType | Journal Article |
| Copyright | 2021 The Author(s) |
| Copyright_xml | – notice: 2021 The Author(s) |
| DBID | 6I. AAFTH AAYXX CITATION |
| DOI | 10.1016/j.jpaa.2021.106921 |
| DatabaseName | ScienceDirect Open Access Titles Elsevier:ScienceDirect:Open Access CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1873-1376 |
| ExternalDocumentID | 10_1016_j_jpaa_2021_106921 S0022404921002620 |
| GroupedDBID | --K --M --Z -~X .~1 0R~ 1B1 1RT 1~. 1~5 29L 4.4 41~ 457 4G. 5GY 5VS 6I. 6TJ 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAFTH AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AASFE AAXUO ABAOU ABEFU ABFNM ABJNI ABMAC ABVKL ABXDB ABYKQ ACAZW ACDAQ ACGFS ACNCT ACRLP ADBBV ADEZE ADMUD AEBSH AEKER AENEX AEXQZ AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ARUGR ASPBG AVWKF AXJTR AZFZN BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA HVGLF HZ~ IHE IXB J1W KOM M26 M41 MCRUF MHUIS MO0 MVM N9A NCXOZ O-L O9- OAUVE OHT OK1 OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SDP SES SEW SPC SPCBC SSW SSZ T5K TN5 UPT WH7 WUQ XJT XPP YQT YYP ZMT ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO ADVLN AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c225t-d6ac11c6810dcde4f37e1dae73fc3151c7a7531b2dea07af1f258c7a55ee38e83 |
| ISICitedReferencesCount | 0 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000711624500008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0022-4049 |
| IngestDate | Sat Nov 29 07:26:43 EST 2025 Fri Feb 23 02:44:22 EST 2024 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | 47A15 16G10 |
| Language | English |
| License | This is an open access article under the CC BY-NC-ND license. |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c225t-d6ac11c6810dcde4f37e1dae73fc3151c7a7531b2dea07af1f258c7a55ee38e83 |
| OpenAccessLink | https://dx.doi.org/10.1016/j.jpaa.2021.106921 |
| ParticipantIDs | crossref_primary_10_1016_j_jpaa_2021_106921 elsevier_sciencedirect_doi_10_1016_j_jpaa_2021_106921 |
| PublicationCentury | 2000 |
| PublicationDate | May 2022 2022-05-00 |
| PublicationDateYYYYMMDD | 2022-05-01 |
| PublicationDate_xml | – month: 05 year: 2022 text: May 2022 |
| PublicationDecade | 2020 |
| PublicationTitle | Journal of pure and applied algebra |
| PublicationYear | 2022 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Klein (br0080) 1968; 43 Ringel (br0140) 1990 Schiffmann (br0170) 2012; vol. 24-II Birkhoff (br0020) 1934; 38 Ringel (br0150) 1992; 168 Beers, Hunter, Walker (br0030) 1983; vol. 1006 Duan (br0050) 2003; 103 Peng (br0130) 1997; 197 Kaplansky (br0070) 1954 Arnold (br0010) 2000 Nasr-Isfahani (br0120) 2012; 15 Ringel, Schmidmeier (br0160) 2008; 614 Macdonald (br0110) 1995 Kosakowska, Schmidmeier (br0090) 2015; 367 Kosakowska, Schmidmeier (br0100) 2017; 491 Simson (br0190) 2007; 311 Schmidmeier (br0180) 2012; 15 Simson (10.1016/j.jpaa.2021.106921_br0190) 2007; 311 Birkhoff (10.1016/j.jpaa.2021.106921_br0020) 1934; 38 Schiffmann (10.1016/j.jpaa.2021.106921_br0170) 2012; vol. 24-II Ringel (10.1016/j.jpaa.2021.106921_br0140) 1990 Macdonald (10.1016/j.jpaa.2021.106921_br0110) 1995 Schmidmeier (10.1016/j.jpaa.2021.106921_br0180) 2012; 15 Kaplansky (10.1016/j.jpaa.2021.106921_br0070) 1954 Nasr-Isfahani (10.1016/j.jpaa.2021.106921_br0120) 2012; 15 Ringel (10.1016/j.jpaa.2021.106921_br0150) 1992; 168 Ringel (10.1016/j.jpaa.2021.106921_br0160) 2008; 614 Arnold (10.1016/j.jpaa.2021.106921_br0010) 2000 Beers (10.1016/j.jpaa.2021.106921_br0030) 1983; vol. 1006 Klein (10.1016/j.jpaa.2021.106921_br0080) 1968; 43 Kosakowska (10.1016/j.jpaa.2021.106921_br0090) 2015; 367 Duan (10.1016/j.jpaa.2021.106921_br0050) 2003; 103 Peng (10.1016/j.jpaa.2021.106921_br0130) 1997; 197 Kosakowska (10.1016/j.jpaa.2021.106921_br0100) 2017; 491 |
| References_xml | – volume: 43 start-page: 280 year: 1968 end-page: 284 ident: br0080 article-title: The multiplication of Schur-functions and extensions of publication-title: J. Lond. Math. Soc. – volume: 197 start-page: 1 year: 1997 end-page: 13 ident: br0130 article-title: Some Hall polynomials for representation-finite trivial extension algebras publication-title: J. Algebra – volume: 367 start-page: 5475 year: 2015 end-page: 5505 ident: br0090 article-title: Operations on arc diagrams and degenerations for invariant subspaces of linear operators publication-title: Trans. Am. Math. Soc. – year: 2000 ident: br0010 article-title: Abelian Groups and Representations of Finite Partially Ordered Sets publication-title: CMS Books in Mathematics – volume: 103 start-page: 363 year: 2003 end-page: 376 ident: br0050 article-title: On the inverse Kostka matrix publication-title: J. Comb. Theory, Ser. A – volume: 614 start-page: 1 year: 2008 end-page: 52 ident: br0160 article-title: Invariant subspaces of nilpotent linear operators. I publication-title: J. Reine Angew. Math. – start-page: 433 year: 1990 end-page: 447 ident: br0140 article-title: Hall Algebras, vol. 26 – year: 1954 ident: br0070 article-title: Infinite Abelian Groups – volume: 15 start-page: 449 year: 2012 end-page: 481 ident: br0180 article-title: Hall polynomials via automorphisms of short exact sequences publication-title: Algebr. Represent. Theory – volume: vol. 24-II start-page: 1 year: 2012 end-page: 141 ident: br0170 article-title: Lectures on Hall algebras publication-title: Geometric Methods in Representation Theory. II – year: 1995 ident: br0110 article-title: Symmetric Functions and Hall Polynomials – volume: 491 start-page: 241 year: 2017 end-page: 264 ident: br0100 article-title: Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties publication-title: J. Algebra – volume: 168 start-page: 284 year: 1992 end-page: 291 ident: br0150 article-title: Lie algebras arising in representation theory publication-title: Lond. Math. Soc. Lect. Note Ser. – volume: 311 start-page: 1 year: 2007 end-page: 30 ident: br0190 article-title: Representation types of the category of subprojective representations of a finite poset over publication-title: J. Algebra – volume: 38 start-page: 385 year: 1934 end-page: 401 ident: br0020 article-title: Subgroups of abelian groups publication-title: Proc. Lond. Math. Soc., II. Ser. – volume: 15 start-page: 483 year: 2012 end-page: 490 ident: br0120 article-title: Hall polynomials for Nakayama algebras publication-title: Algebr. Represent. Theory – volume: vol. 1006 start-page: 471 year: 1983 end-page: 506 ident: br0030 article-title: Finite valuated p-groups publication-title: Abelian Group Theory – volume: 367 start-page: 5475 year: 2015 ident: 10.1016/j.jpaa.2021.106921_br0090 article-title: Operations on arc diagrams and degenerations for invariant subspaces of linear operators publication-title: Trans. Am. Math. Soc. doi: 10.1090/S0002-9947-2014-06206-5 – volume: 38 start-page: 385 year: 1934 ident: 10.1016/j.jpaa.2021.106921_br0020 article-title: Subgroups of abelian groups publication-title: Proc. Lond. Math. Soc., II. Ser. – year: 2000 ident: 10.1016/j.jpaa.2021.106921_br0010 article-title: Abelian Groups and Representations of Finite Partially Ordered Sets doi: 10.1007/978-1-4419-8750-1 – volume: vol. 24-II start-page: 1 year: 2012 ident: 10.1016/j.jpaa.2021.106921_br0170 article-title: Lectures on Hall algebras – volume: vol. 1006 start-page: 471 year: 1983 ident: 10.1016/j.jpaa.2021.106921_br0030 article-title: Finite valuated p-groups – volume: 103 start-page: 363 year: 2003 ident: 10.1016/j.jpaa.2021.106921_br0050 article-title: On the inverse Kostka matrix publication-title: J. Comb. Theory, Ser. A doi: 10.1016/S0097-3165(03)00106-7 – volume: 311 start-page: 1 year: 2007 ident: 10.1016/j.jpaa.2021.106921_br0190 article-title: Representation types of the category of subprojective representations of a finite poset over K[t]/(tm) and a solution of a Birkhoff type problem publication-title: J. Algebra doi: 10.1016/j.jalgebra.2007.01.029 – start-page: 433 year: 1990 ident: 10.1016/j.jpaa.2021.106921_br0140 – volume: 614 start-page: 1 year: 2008 ident: 10.1016/j.jpaa.2021.106921_br0160 article-title: Invariant subspaces of nilpotent linear operators. I publication-title: J. Reine Angew. Math. doi: 10.1515/CRELLE.2008.001 – volume: 168 start-page: 284 year: 1992 ident: 10.1016/j.jpaa.2021.106921_br0150 article-title: Lie algebras arising in representation theory publication-title: Lond. Math. Soc. Lect. Note Ser. – volume: 15 start-page: 449 year: 2012 ident: 10.1016/j.jpaa.2021.106921_br0180 article-title: Hall polynomials via automorphisms of short exact sequences publication-title: Algebr. Represent. Theory doi: 10.1007/s10468-010-9250-6 – volume: 15 start-page: 483 issue: 3 year: 2012 ident: 10.1016/j.jpaa.2021.106921_br0120 article-title: Hall polynomials for Nakayama algebras publication-title: Algebr. Represent. Theory doi: 10.1007/s10468-010-9253-3 – volume: 197 start-page: 1 year: 1997 ident: 10.1016/j.jpaa.2021.106921_br0130 article-title: Some Hall polynomials for representation-finite trivial extension algebras publication-title: J. Algebra doi: 10.1006/jabr.1997.7113 – volume: 43 start-page: 280 year: 1968 ident: 10.1016/j.jpaa.2021.106921_br0080 article-title: The multiplication of Schur-functions and extensions of p-modules publication-title: J. Lond. Math. Soc. doi: 10.1112/jlms/s1-43.1.280 – year: 1954 ident: 10.1016/j.jpaa.2021.106921_br0070 – volume: 491 start-page: 241 year: 2017 ident: 10.1016/j.jpaa.2021.106921_br0100 article-title: Box moves on Littlewood-Richardson tableaux and an application to invariant subspace varieties publication-title: J. Algebra doi: 10.1016/j.jalgebra.2017.07.025 – year: 1995 ident: 10.1016/j.jpaa.2021.106921_br0110 |
| SSID | ssj0001346 |
| Score | 2.286559 |
| Snippet | We prove the existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators. |
| SourceID | crossref elsevier |
| SourceType | Index Database Publisher |
| StartPage | 106921 |
| Title | The existence of Hall polynomials for x2-bounded invariant subspaces of nilpotent linear operators |
| URI | https://dx.doi.org/10.1016/j.jpaa.2021.106921 |
| Volume | 226 |
| WOSCitedRecordID | wos000711624500008&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1873-1376 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0001346 issn: 0022-4049 databaseCode: AIEXJ dateStart: 20211209 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3NT9swFLe6ssN2QLAPDdiQD-NUBcX5mJMjQkwDBOLApN4ix7GlliqJ6tCV_5734sQtMKZx4BJVVuO0fr88_97z-yDkOxhruc_UD6-AvdWLlPK9RPsYZZ7KMIcdPxV-22yCX14m43F6NRgs-lyYxYyXZbJcpvWrihrGQNiYOvsCcbtJYQA-g9DhCmKH638LHutbtmS49dPj6XNdze4wAxmrJWNk4TLwcuyopLD20gIMZljhkQEtUrcxWhjeMZnVVYOhAshExXxU1ao9kzfPENq6P4sQHbPFFiL53On9c2GmnbsVGOnEHBzHB0mwcqKfV0bcVH_MjQ3fvTXNnW3t3XslwKB1MYBrWQKRb8uR9po2sMnxHaTiNb0JhmlqM6WfqHTrXZgeTmuBdaICdrj68sP62Y_2NRdt2AeyTTOcI8M5MjvHG7IR8DhNhmTj6PRkfOb2cBbaFK_-X3TpVjYy8PEv-TulWaMp11tksxMHPbK42CYDVX4g7y9ccV7zkeSAEOoQQitNESF0DSEUEEJXCKEOIdQhBG9zCKEWIdQh5BP5_fPk-viX17Xa8CQo9AbeVCEZk1icrpCFinTIFSuE4qGWIZBCyQXYtSwPCiV8LjTTQZzAYBwrFSYqCT-TYVmV6guhLCgEiyVoKK0jXuQ5FwXwI50KLoWKwh0y6lcrq21Flex5Ce2QuF_QrOOElutlgI9_3Lf7oqfskXcrEH8lw2Z-q76Rt3LRTMx8vwPHPWP9hvs |
| linkProvider | Elsevier |
| 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=The+existence+of+Hall+polynomials+for+x2-bounded+invariant+subspaces+of+nilpotent+linear+operators&rft.jtitle=Journal+of+pure+and+applied+algebra&rft.au=Kasjan%2C+Stanis%C5%82aw&rft.au=Kosakowska%2C+Justyna&rft.date=2022-05-01&rft.issn=0022-4049&rft.volume=226&rft.issue=5&rft.spage=106921&rft_id=info:doi/10.1016%2Fj.jpaa.2021.106921&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_jpaa_2021_106921 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0022-4049&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0022-4049&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0022-4049&client=summon |