In mathematics, the Alvis–Curtis duality is a duality operation on the characters of a reductive group over a finite field, introduced by Charles W. Curtis (1980) and studied by his student Dean Alvis (1979). Kawanaka (1981, 1982) introduced a similar duality operation for Lie algebras.
Alvis–Curtis duality has order 2 and is an isometry on generalized characters.
Carter (1985, 8.2) discusses Alvis–Curtis duality in detail.
The dual ζ* of a character ζ of a finite group G with a split BN-pair is defined to be
Here the sum is over all subsets J of the set R of simple roots of the Coxeter system of G. The character ζPJ is the truncation of ζ to the parabolic subgroup PJ of the subset J, given by restricting ζ to PJ and then taking the space of invariants of the unipotent radical of PJ, and ζGPJ is the induced representation of G. (The operation of truncation is the adjoint functor of parabolic induction.)
Human settlement in ScotlandLochmabenThe town centre showing Lochmaben Town Hall and the statue of Robert the BruceLochmabenLocation within Dumfries and GallowayPopulation2,180 (mid-2020 est.)[1]LanguageEnglishOS grid referenceNY081824Council areaDumfries and GallowayLieutenancy areaDumfriesCountryScotlandSovereign stateUnited KingdomPost townLockerbiePostcode districtDG11PoliceScotlandFireScottishAmbulanceScottish UK ParliamentDumfriesshire, …
Pristigasteridae Pristigaster cayana Klasifikasi ilmiah Domain: Eukaryota Kerajaan: Animalia Filum: Chordata Kelas: Actinopterygii Ordo: Clupeiformes Subordo: Clupeoidei Famili: PristigasteridaeBleeker, 1872 Genus Chirocentrodon Ilisha Neoopisthopterus Odontognathus Opisthopterus Pellona Pliosteostoma Pristigaster Raconda Sinonim Acanthoclinidae Pristigasteridae merupakan famili ikan bersirip kipas yang berkerabat dengan ikan haring. Salah satu nama umum untuk genus ini adalah haring sirip panja…
Este artigo não cita fontes confiáveis. Ajude a inserir referências. Conteúdo não verificável pode ser removido.—Encontre fontes: ABW • CAPES • Google (N • L • A) (Maio de 2019) A antiga Guerra de Zurique (Alter Zürichkrieg) foi um conflito que durou de 1440 a 1446 entre o cantão de Zurique e os outros sete da antiga Confederação da Suíça. Este artigo sobre história ou um(a) historiador(a) é um esboço. Você pode aj…
Frans Figaroa Plaats uw zelfgemaakte foto hier Volledige naam Francisco Dominico Figaroa Geboren 3 september 1927 Overleden 6 oktober 1993 Overlijdensplaats Aruba Regio Aruba Land Nederlandse Antillen, later Aruba Partij UNA / MEP[1] Functies 1961-1962 Minister van Onderwijs van de Nederlandse Antillen[2] 1963-1967 Lid Eilandraad van Aruba 1975-1976 en in 1979 Voorzitter Staten van de Nederlandse Antillen 1979-1982 Gezaghebber van Aruba Portaal Politiek Francisc…
Administrative entry restrictions Front cover of Uzbekistan international passport (started issuing January 1, 2019)Visa requirements for Uzbekistani citizens are administrative entry restrictions by the authorities of other states placed on citizens of Uzbekistan. The article is concerning ordinary passport holders and tourists. As of November 2023, 28 visa-free countries and 33 visa-on-arrival countries, as a result, ranking the Uzbekistan passport 83rd in terms of travel freedom according to …
Asque Entidad subnacional Escudo AsqueLocalización de Asque en Francia Coordenadas 43°02′38″N 0°15′20″E / 43.043888888889, 0.25555555555556Entidad Comuna de Francia • País Francia • Región Mediodía-Pirineos • Departamento Altos Pirineos • Distrito distrito de Bagnères-de-Bigorre • Cantón cantón de La Barthe-de-Neste • Mancomunidad Communauté de communes Haut-ArrosAlcalde Roger Lacome(2008 - 2014)Superficie &#…
Socioemotional adaptation theory is a theory of emotional changes associated with Alzheimer's disease.[1] Socio-emotional Adaptation Theory figure 1 The emotional reactions associated with Alzheimer's disease tend to present as cognitive or behavioral symptoms, leading to interventions that do not treat the underlying emotional trigger.[2][3] Socioemotional adaptation theory outlines four contextual domains that interact to result in emotional states which manifest indepe…
У Вікіпедії є статті про інші значення цього терміна: Гетьманівка. село Гетьманівка Церква Святих Іоакима і ГанниЦерква Святих Іоакима і Ганни Країна Україна Область Одеська область Район Подільський район Громада Савранська селищна громада Код КАТОТТГ UA51120210060050898…
Jalan Warung Jati Barat atau yang biasa disebut Jalan Taman Margasatwa Raya adalah nama salah satu jalan utama Jakarta yang menghubungkan kawasan Duren Tiga, Kalibata,Pejaten, Jati Padang, dan Ragunan. Jalan ini meneruskan Jalan Warung Buncit Raya dari persimpangan Pejaten Village menuju arah Kebun Binatang Ragunan. Jalan ini melintang sepanjang 1,7 kilometer dari Pejaten Barat, Pasar Minggu, Jakarta Selatan sampai Jati Padang, Pasar Minggu, Jakarta Selatan. Jalan ini melintasi 3 Kelurahan: Peja…
Deze (incomplete) lijst geeft een overzicht van personen die geboren zijn in de Poolse hoofdstad Warschau. De personen zijn gerangschikt naar geboortejaar. Kardinaal en prins-bisschop Jan Albert Wasa (1612-1634) Natuur- en scheikundige Marie Curie (1867-1934) Wiskundige en logicus Alfred Tarski (1901-1983) Affiche- en posterkunstenaar Henryk Tomaszewski (1914-2005) Atlete Elżbieta Krzesińska (1934-2015) Actrice en filmregisseur Magdalena Łazarkiewicz (1954) Voetballer Dariusz Dziekanowski (19…
ميّز عن جبهة تحرير سوريا الإسلامية والجبهة الوطنية لتحرير سوريا. جبهة تحرير سوريا مشارك في الحرب الأهلية السورية الشعار سنوات النشاط 18 فبراير 2018 – الآن الأيديولوجيا إسلام سياسي سني سلفية أصولية إسلامية[1] مجموعات حركة أحرار الشام الإسلامية حركة نور الدين الزنكي
Map all coordinates using: OpenStreetMap Download coordinates as: KML GPX (all coordinates) GPX (primary coordinates) GPX (secondary coordinates) The Irish state has officially approved the following list of national monuments in County Wicklow. In the Republic of Ireland, a structure or site may be deemed to be a national monument, and therefore worthy of state protection, if it is of national importance. If the land adjoining the monument is essential to protect it, this land may also be prote…
Dieser Artikel behandelt das Bauwerk. Zum metrischen Begriff siehe Stollen (Literatur), zum mathematischen Begriff siehe Bruhat-Tits-Gebäude. Wohngebäude Haus Dellwig bei Dortmund Dom Santa Maria del Fiore (Florenz) Ringlokschuppen Ein Gebäude ist ein Bauwerk, das Räume einschließt, betreten werden kann und dem Aufenthalt von Menschen, Tieren oder der Lagerung von Sachen dient. Ein Gebäude ist ein durch den Menschen besonders konstruierter Behälter, der durch intentionales Handeln, mit de…
4th episode of the 3rd season of Parks and Recreation Ron & Tammy: Part TwoParks and Recreation episodeEpisode no.Season 3Episode 4Directed byTucker GatesWritten byEmily KapnekOriginal air dateFebruary 10, 2011 (2011-02-10)Guest appearances Brooke Baumer as Marci Tracy Howe as Police Officer #1 Matt Kelley as Waiter Will McLaughlin as Police Officer #2 Megan Mullally as Tammy Swanson Craig Pearman as Justice of the Peace Eric Pierpoint as Chief Hugh Trumple Marc Raducci a…
Dewan Perwakilan Rakyat Daerah Kabupaten Bogor ᮓᮦᮝᮔ᮪ ᮕᮀᮝᮊᮤᮜ᮪ ᮛᮠᮚᮒ᮪ ᮓᮆᮛᮂ ᮊᮘᮥᮕᮒᮦᮔ᮪ ᮘᮧᮌᮧᮁDéwan Pangwakil Rahayat Daérah Kabupatén BogorDewan Perwakilan RakyatKabupaten Bogor2019-2024JenisJenisUnikameral SejarahSesi baru dimulai27 Agustus 2019PimpinanKetuaRudy Susmanto, S.Si. (Gerindra) sejak 24 September 2019 Wakil Ketua IH. Agus Salim, Lc. (PKS) sejak 24 September 2019 Wakil Ketua IIH. Wawan Hikal Kurdi (Golkar) sej…
Pegunungan Atlas Negara MarokoAljazairTunisiaBatu Gibraltar Titik tertinggi Gunung Jbel Toubkal - elevasi 13.671,26 ft (4.167 m) Panjang 1.500 mi (2.414,016 km), Barat Daya-Timur Laut Gunung Jbel Toubkal dalam Pegunungan Atlas Pegunungan Atlas ialah barisan pegunungan di Afrika barat laut yang memanjang sekitar 2.400 km (1.500 mil) melalui Maroko, Aljazair, dan Tunisia, dan termasuk Batu Gibraltar. Puncak tertingginya ialah Jbel Toubkal, dengan ketinggian 4.16…
National theatre in Asmara, Eritrea Asmara Theatre building Asmara Theatre interior Asmara Theatre (Italian: Teatro di Asmara), also known as Asmara Opera, is a theatre in Asmara, Eritrea. It was constructed in 1918 following a design by the Italian engineer Odoardo Cavagnari, with later renovations in 1936.[1] Characteristics Monumental entrance to Asmara Theatre building Ceiling of Asmara Theatre The building combines elements of Romanesque Revival and neoclassicism. The painting of th…
هذه المقالة يتيمة إذ تصل إليها مقالات أخرى قليلة جدًا. فضلًا، ساعد بإضافة وصلة إليها في مقالات متعلقة بها. (أبريل 2019) تشاد ستانلي معلومات شخصية الميلاد 29 يناير 1976 (47 سنة) أور سيتي مواطنة الولايات المتحدة الطول 75 بوصة الوزن 209 رطل الحياة العملية المهنة لاعب كرة ق…
Australia Rugby League Parramatta Eels 2021 season 2021 Parramatta Eels seasonNRL Rank6thPlay-off resultSemi-finalists (Lost 8–6 vs Penrith Panthers, 2nd Semi Final)World Club ChallengeDNQ2021 recordWins: 15; draws: 0; losses: 9Points scoredFor: 566; against: 457Team informationCEOJim SarantinosCoach Brad ArthurCaptain Clinton GuthersonStadiumBankwest Stadium (Capacity: 30,000)TIO Stadium (Capacity: 12,500)Cbus Super Stadium (Capacity: 27,400)Avg. attendance14,772 (Hom…
Fox affiliate in Buffalo, New York For the Washington University student television station in St. Louis, Missouri, see WUTV 22. WUTVBuffalo–Niagara Falls, New YorkToronto–Niagara Falls, OntarioUnited States–CanadaCityBuffalo, New YorkChannelsDigital: 32 (UHF)Virtual: 29BrandingFox 29ProgrammingAffiliations29.1: Fox29.2: TBD29.3: Charge!OwnershipOwnerSinclair Broadcast Group(WUTV Licensee, LLC[1])Sister stationsWNYO-TVHistoryFirst air dateDecember 21, 1970 (52 years ago)&#…
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