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Satake Yoshikata
Satake may refer to: *Satake clan, a Japanese samurai clan originally from Hitachi Province *Satake Corporation, a multinational agricultural equipment maker based in Hiroshima, Japan *Asteroid 8194 Satake *Ichirō Satake (1927–2014), Japanese mathematician **Satake isomorphism **Satake diagram In the mathematical study of Lie algebras and Lie groups, a Satake diagram is a generalization of a Dynkin diagram introduced by whose configurations classify simple Lie algebras over the field of real numbers. The Satake diagrams associated to a D ... *, Japanese women's basketball player *, Japanese sailor *, Japanese politician {{Disambiguation, surname Japanese-language surnames ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Satake Clan
The was a Japanese samurai clan that claimed descent from the Minamoto clan. Its first power base was in Hitachi Province. The clan was subdued by Minamoto no Yoritomo in the late 12th century, but later entered Yoritomo's service as vassals. In the Muromachi period, the Satake served as Governor (''shugo'') of Hitachi Province (today Ibaraki Prefecture), under the aegis of the Ashikaga shogunate. The clan sided with the Western Army during the Battle of Sekigahara, and was punished by Tokugawa Ieyasu, who moved it to a smaller territory in northern Dewa Province (northern Honshū) at the start of the Edo period. The Satake survived as lords (daimyō) of the Kubota Domain (also known as the Akita Domain). Over the course of the Edo period, two major branches of the Satake clan were established, one ruled the fief of Iwasaki, the other one the fief of Kubota-Shinden. During the Boshin War of 1868–69, the Satake were signatories to the pact that formed the Ōuetsu Reppan Dōm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Satake Corporation
based in Hiroshima, Japan, is a multinational company mainly focused in equipment for the processing and sorting of agricultural products such as rice, grains and beans. The corporation was founded in Japan by Riichi Satake in 1896. They have now expanded into plastics, acquiring an American company, Electronic Sorting Machines (ESM), that specializes in optical sorting equipment for nuts, plastics, vegetables, and seeds. Three generations of Satake have received the prestigious Japanese Blue Ribbon award for advances in food processing. Currently Satake Corp. is under the chairmanship of Toshiko Satake,http://www.hitec.city.hiroshima.jp/english/se/level7/ne2770.html, Business Information in Hiroshima, Satake Corporation, Retrieved September 6, 2010. granddaughter of Riichi Satake, and the fourth President of the company. In 2007 the company founded Satake International Bangkok Co., Ltd. They also have offices in the United Kingdom and Australia. History Key events in the comp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ichirō Satake
(25 December 1927 – 10 October 2014) was a Japanese mathematician working on algebraic groups who introduced the Satake isomorphism and Satake diagrams. He was considered an iconic figure in the theory of linear algebraic groups and symmetric spaces. Satake was born in Tokyo, Japan in 1927, and received his Ph.D. at the University of Tokyo in 1959 under the supervision of Shokichi Iyanaga. He was a professor at University of California, Berkeley from 1968 to 1983. After retirement he returned to Japan, where he spent time at Tohoku University and Chuo University. He died of respiratory failure on 10 October 2014. Although they are often attributed to William Thurston, Satake was the first to introduce orbifold, which he did in the 1950s under the name of ''V-manifold''. In , he gave the modern definition, along with the basic calculus of smooth functions and differential forms. He demonstrated that the de Rham theorem and Poincaré duality, along with their proofs, carry over ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Satake Isomorphism
In mathematics, the Satake isomorphism, introduced by , identifies the Hecke algebra of a reductive group over a local field with a ring of invariants of the Weyl group. The geometric Satake equivalence is a geometric version of the Satake isomorphism, proved by . Statement Classical Satake isomorphism. Let G be a semisimple algebraic group, K be a non-Archimedean local field and O be its ring of integers. It's easy to see that Gr = G(K)/G(O) is grassmannian. For simplicity, we can think that K = \Z/p\Z((x)) and O = \Z/p\Z x , p a prime number; in this case, Gr is a infinite dimensional algebraic variety . One denotes the category of all compactly supported spherical functions on G(K) biinvariant under the action of G(O) as \Complex_c (O) \backslash G(K)/G(O), \Complex the field of complex numbers, which is a Hecke algebra and can be also treated as a group scheme over \Complex . Let T(\Complex) be the maximal torus of G(\Complex) , W be the Weyl group of G . ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Satake Diagram
In the mathematical study of Lie algebras and Lie groups, a Satake diagram is a generalization of a Dynkin diagram introduced by whose configurations classify simple Lie algebras over the field of real numbers. The Satake diagrams associated to a Dynkin diagram classify real forms of the complex Lie algebra corresponding to the Dynkin diagram. More generally, the Tits index or Satake–Tits diagram of a reductive algebraic group over a field is a generalization of the Satake diagram to arbitrary fields, introduced by , that reduces the classification of reductive algebraic groups to that of anisotropic reductive algebraic groups. Satake diagrams are not the same as Vogan diagrams of a Lie group, although they look similar. Definition A Satake diagram is obtained from a Dynkin diagram by blackening some vertices, and connecting other vertices in pairs by arrows, according to certain rules. Suppose that ''G'' is an algebraic group defined over a field ''k'', such as the reals ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Misako Satake
is a Japanese basketball player. She competed in the women's tournament at the 1976 Summer Olympics Events January * January 3 – The International Covenant on Economic, Social and Cultural Rights enters into force. * January 5 – The Pol Pot regime proclaims a new constitution for Democratic Kampuchea. * January 11 – The 1976 Phi .... References 1951 births Living people Japanese women's basketball players Olympic basketball players of Japan Basketball players at the 1976 Summer Olympics Sportspeople from Miyazaki Prefecture {{Japan-basketball-bio-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mitsuko Satake
is a Japanese sailor. She competed in the women's 470 event at the 2004 Summer Olympics The 2004 Summer Olympics ( el, Θερινοί Ολυμπιακοί Αγώνες 2004, ), officially the Games of the XXVIII Olympiad ( el, Αγώνες της 28ης Ολυμπιάδας, ) and also known as Athens 2004 ( el, Αθήνα 2004), .... References External links * 1976 births Living people Japanese female sailors (sport) Olympic sailors of Japan Sailors at the 2004 Summer Olympics – 470 Place of birth missing (living people) {{Japan-yachtracing-bio-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Norihisa Satake
is a Japanese politician. A former two-term mayor of Akita City in Akita Prefecture, first elected in 2001, he is currently the Governor of Akita Prefecture after winning election on April 12, 2009. He is the 21st head of the North Satake branch of the Satake clan. Life Early life and family Satake was born into the Wainai family, and his biological great grandfather was Wainai Sadayuki. He was later adopted to the North Satake family, a noble family that held the title of baron until 1945, when the nobility was abolished in Japan. The Satake family had formerly served as daimyo (feudal lord) of Kubota Domain. He is the 21st head of the North Satake family. He is a native of Senboku, Akita, formerly known as Kakunodate Village in Senboku District. He graduated from Tohoku University in 1971, with a B.E. degree in Precision Engineering. Career After graduating from Tohoku University, he joined the Akita Prefectural Office in 1972 and held a series of positions until ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
