π-TYPE FERMIONS AND π-TYPE KP HIERARCHY
In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the...
Saved in:
| Published in | Glasgow mathematical journal Vol. 61; no. 3; pp. 601 - 613 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Cambridge, UK
Cambridge University Press
01.09.2019
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0017-0895 1469-509X |
| DOI | 10.1017/S0017089518000381 |
Cover
Loading…
| Abstract | In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the way we get the Schur functions Sλ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π-type KP hierarchy and obtain its tau functions. |
|---|---|
| AbstractList | In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π-type symmetric functions Sλπ from the π-type Boson–Fermion correspondence, analogously to the way we get the Schur functions Sλ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π-type KP hierarchy and obtain its tau functions. In this paper, we first construct π -type Fermions. According to these, we define π -type Boson–Fermion correspondence which is a generalization of the classical Boson–Fermion correspondence. We can obtain π -type symmetric functions S λ π from the π -type Boson–Fermion correspondence, analogously to the way we get the Schur functions S λ from the classical Boson–Fermion correspondence (which is the same thing as the Jacobi–Trudi formula). Then as a generalization of KP hierarchy, we construct the π -type KP hierarchy and obtain its tau functions. |
| Author | WANG, NA LI, CHUANZHONG |
| Author_xml | – sequence: 1 givenname: NA surname: WANG fullname: WANG, NA email: wangna@henu.edu.cn organization: Department of Mathematics and Statistics, Henan University, Kaifeng 475001, China e-mail: wangna@henu.edu.cn – sequence: 2 givenname: CHUANZHONG orcidid: 0000-0001-8833-4037 surname: LI fullname: LI, CHUANZHONG email: lichuanzhong@nbu.edu.cn organization: Department of Mathematics, Ningbo University, Ningbo 315211, China e-mail: lichuanzhong@nbu.edu.cn |
| BookMark | eNp9kM9OwkAQxjcGEwF9AG9NPHmozuy2--dIsAgRgRRM5NRsYdeUQIvbcvDmG_pKloAx0ehlJt_M95uZTIs08iI3hFwi3CCguJ1CHUGqECUAMIknpIkBV34I6rlBmvu2v--fkVZZrmrJatUk1x_v_mw-ibxeFD8OxqOp1xndeV_Fh4nXH0RxJ-725-fk1Op1aS6OuU2eetGs2_eH4_tBtzP0FwxF5Qd2CVKkwIMQbGr10iByjki55AKooVYEQhuGKU2FpDqgEpgFqzRXaC1lbXJ1mLt1xevOlFWyKnYur1cmlHIlBaLC2oUH18IVZemMTbYu22j3liAk-48kvz5SM-IHs8gqXWVFXjmdrf8l2ZHUm9RlyxfzfdTf1CeEyXAB |
| CitedBy_id | crossref_primary_10_1142_S0217732324502110 crossref_primary_10_1134_S0040577923020083 crossref_primary_10_1088_1674_1056_ad925b crossref_primary_10_4213_tmf10342 crossref_primary_10_1007_s10801_021_01066_2 |
| Cites_doi | 10.1142/S0217751X16501050 10.1016/0001-8708(91)90072-F 10.1007/s00220-015-2564-9 10.1088/1751-8113/43/40/405202 10.1088/1751-8113/49/42/425201 10.1088/0253-6102/63/2/02 |
| ContentType | Journal Article |
| Copyright | Copyright © Glasgow Mathematical Journal Trust 2018 |
| Copyright_xml | – notice: Copyright © Glasgow Mathematical Journal Trust 2018 |
| DBID | AAYXX CITATION 3V. 7SC 7XB 88I 8AL 8FD 8FE 8FG 8FK ABJCF ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ HCIFZ JQ2 K7- L6V L7M L~C L~D M0N M2P M7S P5Z P62 PHGZM PHGZT PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS Q9U |
| DOI | 10.1017/S0017089518000381 |
| DatabaseName | CrossRef ProQuest Central (Corporate) Computer and Information Systems Abstracts ProQuest Central (purchase pre-March 2016) Science Database (Alumni Edition) Computing Database (Alumni Edition) Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Materials Science & Engineering Collection ProQuest Central ProQuest Central UK/Ireland Advanced Technologies & Aerospace Collection ProQuest Central Essentials - QC ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database ProQuest Engineering Collection Advanced Technologies Database with Aerospace Computer and Information Systems Abstracts Academic Computer and Information Systems Abstracts Professional Computing Database Science Database Engineering Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering Collection ProQuest Central Basic |
| DatabaseTitle | CrossRef Computer Science Database ProQuest Central Student Technology Collection Technology Research Database Computer and Information Systems Abstracts – Academic ProQuest One Academic Middle East (New) ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection Computer and Information Systems Abstracts ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest Central Korea ProQuest Central (New) Advanced Technologies Database with Aerospace Engineering Collection Advanced Technologies & Aerospace Collection ProQuest Computing Engineering Database ProQuest Science Journals (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest Computing (Alumni Edition) ProQuest One Academic Eastern Edition ProQuest Technology Collection ProQuest SciTech Collection Computer and Information Systems Abstracts Professional Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition Materials Science & Engineering Collection ProQuest One Academic ProQuest Central (Alumni) ProQuest One Academic (New) |
| DatabaseTitleList | Computer Science Database CrossRef |
| Database_xml | – sequence: 1 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| DocumentTitleAlternate | NA WANG AND CHUANZHONG LI π-TYPE FERMIONS AND π-TYPE KP HIERARCHY |
| EISSN | 1469-509X |
| EndPage | 613 |
| ExternalDocumentID | 10_1017_S0017089518000381 |
| GroupedDBID | --Z -1D -1F -2P -2V -E. -~6 -~N -~X .DC 09C 09E 0E1 0R~ 29I 3V. 4.4 5GY 5VS 6~7 74X 74Y 7~V 88I 8FE 8FG 8R4 8R5 9M5 AAAZR AABES AABWE AACJH AAGFV AAKTX AAMNQ AANRG AARAB AASVR AATMM AAUIS AAUKB ABBXD ABBZL ABITZ ABJCF ABJNI ABKKG ABMWE ABQTM ABQWD ABROB ABTAH ABTCQ ABUWG ABVFV ABVKB ABVZP ABXAU ABZCX ABZUI ACBMC ACDLN ACETC ACGFS ACGOD ACIMK ACIWK ACMRT ACRPL ACUIJ ACYZP ACZBM ACZUX ACZWT ADCGK ADDNB ADFEC ADKIL ADNMO ADOVH ADOVT ADVJH AEBAK AEBPU AEHGV AEMFK AEMTW AENCP AENEX AENGE AEYYC AFFUJ AFKQG AFKRA AFLOS AFLVW AFUTZ AFZFC AGABE AGBYD AGJUD AGLWM AHQXX AHRGI AI. AIGNW AIHIV AIOIP AISIE AJ7 AJCYY AJPFC AJQAS AKZCZ ALMA_UNASSIGNED_HOLDINGS ALVPG ALWZO AQJOH ARABE ARAPS ARZZG ATUCA AUXHV AYIQA AZQEC BBLKV BCGOX BENPR BESQT BGHMG BGLVJ BJBOZ BLZWO BMAJL BPHCQ BQFHP C0O CAG CBIIA CCPQU CCQAD CCUQV CDIZJ CFAFE CFBFF CGQII CHEAL CJCSC COF CS3 DC4 DOHLZ DU5 DWQXO EBS EGQIC EJD FRP GNUQQ HCIFZ HST HZ~ H~9 I.7 I.9 IH6 IOEEP IOO IS6 I~P J36 J38 J3A JHPGK JQKCU K6V K7- KAFGG KCGVB KFECR L6V L98 LHUNA LW7 M-V M0N M2P M7S NIKVX NMFBF NZEOI O9- OHT OK1 OYBOY P2P P62 PQQKQ PROAC PTHSS PYCCK Q2X RAMDC RCA RIG ROL RR0 S6U SAAAG T9M UPT UT1 VH1 WFFJZ WH7 WQ3 WXU WYP ZCG ZDLDU ZJOSE ZMEZD ZY4 ZYDXJ AAKNA AAYXX ABGDZ ABHFL ABXHF ACEJA ACOZI ADXHL AETEA AGQPQ AKMAY AMVHM ANOYL CITATION PHGZM PHGZT 7SC 7XB 8AL 8FD 8FK JQ2 L7M L~C L~D PKEHL PQEST PQGLB PQUKI PRINS Q9U |
| ID | FETCH-LOGICAL-c317t-4fd087b06450fbfade1166112686702e2f747ae31b2b782a42803f0f9a691ff23 |
| IEDL.DBID | BENPR |
| ISSN | 0017-0895 |
| IngestDate | Fri Jul 25 19:46:49 EDT 2025 Tue Jul 01 00:20:55 EDT 2025 Thu Apr 24 23:10:59 EDT 2025 Tue Jan 21 06:22:31 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | 37K05 37K10 |
| Language | English |
| License | https://www.cambridge.org/core/terms |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c317t-4fd087b06450fbfade1166112686702e2f747ae31b2b782a42803f0f9a691ff23 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ORCID | 0000-0001-8833-4037 |
| PQID | 2269871191 |
| PQPubID | 30656 |
| PageCount | 13 |
| ParticipantIDs | proquest_journals_2269871191 crossref_primary_10_1017_S0017089518000381 crossref_citationtrail_10_1017_S0017089518000381 cambridge_journals_10_1017_S0017089518000381 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 20190900 2019-09-00 20190901 |
| PublicationDateYYYYMMDD | 2019-09-01 |
| PublicationDate_xml | – month: 09 year: 2019 text: 20190900 |
| PublicationDecade | 2010 |
| PublicationPlace | Cambridge, UK |
| PublicationPlace_xml | – name: Cambridge, UK – name: Cambridge |
| PublicationTitle | Glasgow mathematical journal |
| PublicationTitleAlternate | Glasgow Math. J |
| PublicationYear | 2019 |
| Publisher | Cambridge University Press |
| Publisher_xml | – name: Cambridge University Press |
| References | Littlewood (S0017089518000381_ref9) 1940 Macdonald (S0017089518000381_ref2) 1979 Fulton (S0017089518000381_ref3) 1991 S0017089518000381_ref12 S0017089518000381_ref11 Weyl (S0017089518000381_ref8) 1930 S0017089518000381_ref7 S0017089518000381_ref10 S0017089518000381_ref6 Date (S0017089518000381_ref1) 1983 S0017089518000381_ref5 Miwa (S0017089518000381_ref4) 2000 |
| References_xml | – volume-title: The classical groups, their invariants and representations year: 1930 ident: S0017089518000381_ref8 – volume-title: The theory of group charcaters year: 1940 ident: S0017089518000381_ref9 – ident: S0017089518000381_ref12 doi: 10.1142/S0217751X16501050 – ident: S0017089518000381_ref6 doi: 10.1016/0001-8708(91)90072-F – ident: S0017089518000381_ref5 doi: 10.1007/s00220-015-2564-9 – start-page: 39 volume-title: Nonlinear integrable systems-classical theory and quantum theory (Kyoto, 1981) year: 1983 ident: S0017089518000381_ref1 – volume-title: Representation theory, a first course year: 1991 ident: S0017089518000381_ref3 – volume-title: Solitons: Differential equations, symmetries and infinite dimensional algebras year: 2000 ident: S0017089518000381_ref4 – ident: S0017089518000381_ref7 doi: 10.1088/1751-8113/43/40/405202 – volume-title: Symmetric functions and Hall polynomials year: 1979 ident: S0017089518000381_ref2 – ident: S0017089518000381_ref10 doi: 10.1088/1751-8113/49/42/425201 – ident: S0017089518000381_ref11 doi: 10.1088/0253-6102/63/2/02 |
| SSID | ssj0013089 |
| Score | 2.1870053 |
| Snippet | In this paper, we first construct π-type Fermions. According to these, we define π-type Boson–Fermion correspondence which is a generalization of the classical... In this paper, we first construct π -type Fermions. According to these, we define π -type Boson–Fermion correspondence which is a generalization of the... |
| SourceID | proquest crossref cambridge |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 601 |
| SubjectTerms | Fermions |
| Title | π-TYPE FERMIONS AND π-TYPE KP HIERARCHY |
| URI | https://www.cambridge.org/core/product/identifier/S0017089518000381/type/journal_article https://www.proquest.com/docview/2269871191 |
| Volume | 61 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1NT8JAEJ0IXPRg_Iwokh68aGzc7ef2ZFBbUQMhBBI4NW1392QKCt79h_4lZ9stSEy4NdtO0kx338zuTN8DuLJ4EgSI_GbApWM6aUoQBwWuKyZJxhinotAh6_W97th5nbgTfeC20G2VFSYWQM1nmTojv8M0AbfHio7sfv5hKtUoVV3VEho1aCAEM7cOjYewPxiu6wiEBRUW46Vb1TUL0mhFHYNjlJX1sr_sCptRahOki8gTHcC-ThmNTvmND2FH5Eew11vxrS6O4frn2xxNB6ERhcOe-i_Y6PSfjGrwbWB0X8KhqgtNT2AchaPHrqlFEMwMQ_vSdCQnzE8VrRyRqUy4oBRjKrU85vnEEpbEDUEibJpaKUb7xFFyU5LIIPECKqVln0I9n-XiDAxp0yyxlb30VJ7GEpfjAvY9V3JBRNaE25UDYj2VF3HZBubH__zVBFL5KM40objStXjfZnKzMpmXbBrbHm5Vjl-_zXoanG-_fQG7mNvodrAW1JefX-IS84dl2oYai57beqr8AnZNufY |
| linkProvider | ProQuest |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1NT8JAEN0QOKgH42dEUXvQg8bG3dLPgzEoJUVoQwgkcKptd_dkAAVjvPmL_Cv-JWfbLkhMuHFrtt2kmc6-eduZfYPQhUYjxwHkVx3KdVWPYww4yGBd2Rwntk0JS_uQ-YHp9fWngTEooG95FkaUVUpMTIGajhPxj_wWaAJsj4Uc2f3kVRVdo0R2VbbQyNyixT4_YMs2vWvW4ftealrD7T16at5VQE0gVs5UnVNsW7HQacM85hFlhECQIpppmxbWmMaBYUesSmIthvAZ6aJ_E8fciUyHcC6EDgDyS0AzHFhFpQc36HQXeQtsOxL74dKQedRUpFpI1cAYsbP83F81h-WouBwU0kjX2EHbOUVVaplP7aICG-2hLX-u7zrdR1c_X2pv2HGVhtv1xTlkpRbUFTnY6ihe0-2KPNTwAPXXYp5DVByNR-wIKbxKkqgq5nNT8EI7MigAhmUanDLMkjK6mRsgzJfONMzKzqzwn73KCEsbhUkuYC76aLysmnI9nzLJ1DtWPVyRhl-8zcLtjlffPkcbXs9vh-1m0DpBm8Cr8lK0CirO3t7ZKXCXWXyWO4yCntfto78hsvSP |
| 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=%CF%80-TYPE+FERMIONS+AND+%CF%80-TYPE+KP+HIERARCHY&rft.jtitle=Glasgow+mathematical+journal&rft.au=WANG%2C+NA&rft.au=LI%2C+CHUANZHONG&rft.date=2019-09-01&rft.pub=Cambridge+University+Press&rft.issn=0017-0895&rft.eissn=1469-509X&rft.volume=61&rft.issue=3&rft.spage=601&rft.epage=613&rft_id=info:doi/10.1017%2FS0017089518000381&rft.externalDocID=10_1017_S0017089518000381 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0017-0895&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0017-0895&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0017-0895&client=summon |