R-матрица

В статье не хватает ссылок на источники (см. рекомендации по поиску).

Информация должна быть проверяема, иначе она может быть удалена. Вы можете отредактировать статью, добавив ссылки на авторитетные источники в виде сносок. (30 апреля 2023)

Термин R-матрица используется в связи с уравнением Янга-Бакстера. Это уравнение, впервые введенное в области статистической механики, получило свое название от независимой работы С. Н. Янга и Р. Дж. Бакстера. Классическая R-матрица возникает в определении классического уравнения Янга–Бакстера.^[1]

Определение

Пусть $V$ - векторное пространство над полем $k$ . Линейный автоморфизм $c$ пространства $V\otimes V$ называется R-матрицей, если он удовлетворяет уравнению Янга-Бакстера: $(c\otimes {\text{id}}_{V})({\text{id}}_{V}\otimes c)(c\otimes {\text{id}}_{V})=({\text{id}}_{V}\otimes c)(c\otimes {\text{id}}_{V})({\text{id}}_{V}\otimes c)$ , которое рассматривается как соотношение в группе автоморфизмов пространства $V\otimes V\otimes V$ .

Пример

Пусть $V$ — конечномерное векторное пространство над полем $k$ с базисом $\{e_{1},...,e_{N}\}$ , $p,q$ — обратимые скаляры, $\{r_{ij}\}_{1\leq i,j\leq N}$ — семейство элементов поля $k$ , т.ч. $r_{ii}=q$ и $r_{ij}r_{ji}=p$ для $i\neq j$ , $c$ — автоморфизм, задающийся на базисе пространства $V\otimes V$ формулами: $c(e_{i}\otimes e_{i})=qe_{i}\otimes e_{i},$ $c(e_{i}\otimes e_{j})={\begin{cases}r_{ji}e_{j}\otimes e_{i},&i<j\\r_{ji}e_{j}\otimes e_{i}+(q-pq^{-1})e_{i}\otimes e_{j},&i>j\end{cases}}$ . Автоморфизм $c$ является решением уравнения Янга-Бакстера.

Примечания

↑ Kupershmidt, Boris A. (1999). "What a Classical r-Matrix Really Is". Journal of Nonlinear Mathematical Physics. Informa UK Limited. 6 (4): 448–488.

На эту статью не ссылаются другие статьи Википедии.

Пожалуйста, установите ссылки в соответствии с принятыми рекомендациями. (29 апреля 2023)

Read other articles:

Karen Carney

Karen Carney Informasi pribadiNama lengkap Karen Julia Carney[1]Tanggal lahir 1 Agustus 1987 (umur 36)Tempat lahir Birmingham, InggrisTinggi 162 cm (5 ft 4 in)[1]Posisi bermain PenyerangInformasi klubKlub saat ini Chelsea LadiesNomor 8Karier junior1998–2001 Birmingham CityKarier senior*Tahun Tim Tampil (Gol)2001–2006 Birmingham City 2006–2009 Arsenal 54 (462)2009–2010 Chicago Red Stars 38 (3)2011–2015 Birmingham City 50 (12)2015– Chelsea Ladies...

Eksperimen botol biru

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada Oktober 2022. Video reaksi botol biru Eksperimen botol biru adalah sebuah reaksi kimia. Sebuah benda cair yang mengandung glukosa, sodium hidroksida, metilene biru dan sedikit udara dikocok dalam sebuah botol tertutup; cairan tersebut berubah dari tak berwarna menja...

Budi Fitri

Budi Fitri Inspektur Pusat Pembekalan Angkutan Angkatan Darat ke-2Masa jabatan18 November 2020 – 13 September 2021 PendahuluHerry HudrimanPenggantiAgus SantosaDirektur Kecabangan Pusat Pembekalan Angkutan Angkatan Darat ke-2Masa jabatan18 Juni 2020 – 18 November 2020 PendahuluBambang IriantoPenggantiAgus Santosa Informasi pribadiLahir0 September 1963 (umur 60)IndonesiaAlma materAkademi Militer (1987)Karier militerPihak IndonesiaDinas/cabang TNI Angkatan...

Puteri Indonesia Sulawesi Tenggara

Puteri Indonesia Sulawesi TenggaraLogo Resmi Puteri IndonesiaSingkatanPuteri Indonesia SultraPI SultraDinamai berdasarkanPuteri Indonesia regionalTanggal pendirian1992; 32 tahun lalu (1992)Didirikan diJakarta, DKI Jakarta, IndonesiaTipeKontes kecantikan regionalKantor pusatKota Kendari, IndonesiaLokasi IndonesiaJumlah anggota Puteri IndonesiaBahasa resmi Bahasa IndonesiaBahasa InggrisPresiden dan CEO Puteri IndonesiaMooryati SoedibyoKetua Puteri IndonesiaPutri KuswisnuwardhaniSlogan...

1928 Arkansas gubernatorial election

1928 Arkansas gubernatorial election ← 1926 6 November 1928 1930 → Nominee Harvey Parnell Drew Bowers Party Democratic Republican Popular vote 151,743 44,545 Percentage 77.31% 22.69% Governor before election Harvey Parnell (Acting) Democratic Elected Governor Harvey Parnell Democratic Elections in Arkansas Federal government Presidential elections 1836 1840 1844 1848 1852 1856 1860 1868 1872 1876 1880 1884 1888 1892 1896 1900 1904 1908 1912 1916 1920 1924 192...

Jeffrey P. Hillelson

American politician Jeffrey Paul HillelsonMember of the U.S. House of Representativesfrom Missouri's 4th districtIn officeJanuary 3, 1953 – January 3, 1955Preceded byLeonard IrvingSucceeded byGeorge H. Christopher Personal detailsBorn(1919-03-09)March 9, 1919Springfield, Ohio, U.S.DiedMay 28, 2003(2003-05-28) (aged 84)Shawnee Mission, Kansas, U.S.Political partyRepublican Jeffrey Paul Hillelson (March 9, 1919 – May 28, 2003) was a U.S. Representative from Missour...

Effigy

Representation of a person through art For other uses, see Effigy (disambiguation). Burning of Judas Iscariot, Brazil, 1909 Effigy of Ravana, a figure from the Ramayana, with burning sparklers, in Manchester, England in 2006 An effigy is an often life-size sculptural representation of a specific person, or a prototypical figure.[1] The term is mostly used for the makeshift dummies used for symbolic punishment in political protests and for the figures burned in certain traditions aroun...

National Association for Stock Car Auto Racing

National Association for Stock Car Auto RacingLogo officiel de l'organisme NASCAR.HistoireFondation 21 février 1948Daytona BeachCadreSigle NASCARZone d'activité États-UnisType Firme, ligue sportive, fédération sportiveForme juridique Société à capitaux privésDomaine d'activité Stock car racingCourse de voitures de sport (IMSA)Siège Charlotte, FloridePays États-UnisOrganisationFondateur Bill France (en)Président Steve PhelpsVice-président Peter JungSecrétaire général Jim ...

Islam di Mauritius

Islam menurut negara Afrika Aljazair Angola Benin Botswana Burkina Faso Burundi Kamerun Tanjung Verde Republik Afrika Tengah Chad Komoro Republik Demokratik Kongo Republik Kongo Djibouti Mesir Guinea Khatulistiwa Eritrea Eswatini Etiopia Gabon Gambia Ghana Guinea Guinea-Bissau Pantai Gading Kenya Lesotho Liberia Libya Madagaskar Malawi Mali Mauritania Mauritius Maroko Mozambik Namibia Niger Nigeria Rwanda Sao Tome dan Principe Senegal Seychelles Sierra Leone Somalia Somaliland Afrika Selatan ...

Campionato Nazionale Dilettanti 1996-1997

Disambiguazione – Se stai cercando altri significati, vedi Campionato Nazionale Dilettanti 1996-1997 (disambigua). Questa voce o sezione sull'argomento edizioni di competizioni calcistiche non cita le fonti necessarie o quelle presenti sono insufficienti. Puoi migliorare questa voce aggiungendo citazioni da fonti attendibili secondo le linee guida sull'uso delle fonti. Segui i suggerimenti del progetto di riferimento. C.N.D. 1996-1997Campionato Nazionale Dilettanti Competizione Campio...

Secretary for Justice (Hong Kong)

Secretary for Justice of theHong Kong SpecialAdministrative Region律政司司長Emblem of Hong KongIncumbentThe Hon Paul Lam, SBS, SC, JPsince 1 July 2022StyleThe HonourableMember ofGovernment SecretariatExecutive CouncilReports toLegislative CouncilResidence19 Severn Road, The PeakAppointerCentral People's Governmentnomination by Chief ExecutiveTerm lengthNo longer than the Chief Executive's remaining termInaugural holderElsie LeungFormation1 July 1997SalaryHK$4.2 million p.a.[1&#...

Flatliners (film 2017)

FlatlinersPoster TeatrikalSutradaraNiels Arden OplevProduser Laurence Mark[1] Michael Douglas[1] Peter Safran[1] Ditulis olehBen RipleyBerdasarkanFlatlinersoleh Peter FilardiPemeran Elliot Page Diego Luna Nina Dobrev James Norton Kiersey Clemons Kiefer Sutherland Penata musikNathan Barr[2]SinematograferEric KressPenyuntingTom ElkinsPerusahaanproduksi Columbia Pictures[3] Cross Creek Pictures[3] Further Films[3] Laurence Mark Produc...

Bandeirantes

Explorers, slavers, and fortune hunters in colonial Brazil (15th–18th centuries) For other uses, see Bandeirantes (disambiguation). This article includes a list of general references, but it lacks sufficient corresponding inline citations. Please help to improve this article by introducing more precise citations. (October 2012) (Learn how and when to remove this message) BandeirantesDomingos Jorge Velho and Antônio F. de Abreu, by Benedito CalixtoDate16th–18th centuryLocationColonial Bra...

تايلاند في دورة الألعاب الآسيوية 1974

تايلاند فيالألعاب الآسيوية 1974الرمزTHAاللجنةاللجنة الأولمبية الوطنية التايلانديةالموقعwww.olympicthai.or.th/eng باللغة الإنجليزيةفي طهرانالميدالياتالترتيب 8 ذهبية 4 فضية 2 برونزية 8 المجموع 14 الظهور في الألعاب الآسيوية195119541958196219661970197419781982198619901994199820022006201020142018 شَارَكَتْ تايلاند في ...

Перемиський замок

Частина інформації в цій статті застаріла. Ви можете допомогти, оновивши її. Можливо, сторінка обговорення містить зауваження щодо потрібних змін. (жовтень 2017) Перемиський замок 49°46′49″ пн. ш. 22°45′57″ сх. д. / 49.7803056° пн. ш. 22.7659306° сх. д. / 49...

Émile Combes

19th/20th-century French statesman (1835–1921) This article may be a rough translation from French. It may have been generated, in whole or in part, by a computer or by a translator without dual proficiency. Please help to enhance the translation. The original article is under français in the languages list. If you have just labeled this article as needing attention, please add{{subst:Needtrans|pg=Émile Combes |language=French |comments= }}...

1997 in the United States

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: 1997 in the United States – news · newspapers · books · scholar · JSTOR (March 2016) (Learn how and when to remove this message) List of events ← 1996 1995 1994 1997 in the United States → 1998 1999 2000 Decades: 1970s 1980s 1990s 2000s 2010s See al...

Sinan Oğan

Turkish politician (born 1967) Sinan OğanMember of the Grand National AssemblyIn office12 June 2011 – 7 June 2015ConstituencyIğdır (2011) Personal detailsBorn (1967-09-01) 1 September 1967 (age 56)Iğdır, TurkeyPolitical partyIndependent (2017–present)Other politicalaffiliationsNationalist Movement Party (2011–2017)[a]SpouseGökçen Oğan[2]ChildrenGöktürk, Zeynep[3]Alma materMarmara UniversityMoscow State Institute of International Relations ...

Christian Tybring-Gjedde

Artikel ini sebatang kara, artinya tidak ada artikel lain yang memiliki pranala balik ke halaman ini.Bantulah menambah pranala ke artikel ini dari artikel yang berhubungan atau coba peralatan pencari pranala.Tag ini diberikan pada November 2022. Christian Tybring-Gjedde Anggota Parlemen NorwegianPetahanaMulai menjabat 1 Oktober 2005Daerah pemilihanOslo Informasi pribadiLahir8 Agustus 1963 (umur 60)Oslo, NorwegiaKebangsaanNorwegiaSuami/istriIngvil Smines Tybring-GjeddeAnak4Alma materL...

2008 Missouri gubernatorial election

For related races, see 2008 United States gubernatorial elections. 2008 Missouri gubernatorial election ← 2004 November 4, 2008 2012 → Nominee Jay Nixon Kenny Hulshof Party Democratic Republican Popular vote 1,680,661 1,136,364 Percentage 58.4% 39.5% County results Congressional district results Precinct resultsNixon: 40–50% 50–60% 60–70% &...

/profillengkap.com/index.php/article/EMMA (magazine)

/profillengkap.com/index.php/article/Gavin Cowan (footballer)

/profillengkap.com/index.php/John F. De Swan

Altepetl

NGC 139

Quintin Hogg, Baron Hailsham of St Marylebone

9 Naga

Baringo Half Marathon

Photometric-standard star

2020–21 C.D. Primeiro de Agosto season

Battle of Re'im

Law applicable to divorce and legal separation regulation