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Kantor may refer to: * Kantor double in mathematics * Kantor–Koecher–Tits construction in mathematics * Kantor (surname) See also * Kantorovich * Cantor * Cantor (other) A cantor a person who leads people in singing or sometimes in prayer. Cantor may also refer to: Music * Cantor (Christianity), the chief singer, and usually instructor, employed at a church * Hazzan, a Jewish musician trained in the vocal arts ...
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Kantor Double
In mathematics, the Kantor double is a Jordan superalgebra structure on the sum of two copies of a Poisson algebra. It is named after Isaiah Kantor Isaiah Kantor (or Issai Kantor, or Isai Lʹvovich Kantor) (1936–2006) was a mathematician who introduced the Kantor–Koecher–Tits construction, and the Kantor double, a Jordan superalgebra constructed from a Poisson algebra In mathematics, a ..., who introduced it in . References * {{math-stub Non-associative algebras ...
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Kantor–Koecher–Tits Construction
In algebra, the Kantor–Koecher–Tits construction is a method of constructing a Lie algebra from a Jordan algebra In abstract algebra, a Jordan algebra is a nonassociative algebra over a field whose multiplication satisfies the following axioms: # xy = yx (commutative law) # (xy)(xx) = x(y(xx)) (). The product of two elements ''x'' and ''y'' in a Jordan alg ..., introduced by , , and . If ''J'' is a Jordan algebra, the Kantor–Koecher–Tits construction puts a Lie algebra structure on ''J'' + ''J'' + Inner(''J''), the sum of 2 copies of ''J'' and the Lie algebra of inner derivations of ''J''. When applied to a 27-dimensional exceptional Jordan algebra it gives a Lie algebra of type E7 of dimension 133. The Kantor–Koecher–Tits construction was used by to classify the finite-dimensional simple Jordan superalgebras. References * * * * * {{DEFAULTSORT:Kantor-Koecher-Tits construction Lie algebras Non-associative algebras ...
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Kantor (surname)
Kantor is a surname. Notable people with the surname include: * Adam Kantor, American actor and singer * Gergely Kántor (born 1999), Hungarian chess grandmaster * Isaiah Kantor (or Issai Kantor), mathematician * Istvan Kantor, Hungarian-born Canadian performance artist * Jodi Kantor, ''New York Times'' journalist * Loli Kantor (born 1952), French-born Israeli-American photographer * MacKinlay Kantor, American novelist and screenwriter * Maxim Kantor, Russian painter and writer * Mickey Kantor, American lawyer and politician * Piotr Kantor, Polish volleyball player * Roman Kantor (1912–1943), Polish épée fencer killed by the Nazis * Seligmann Kantor (1857–1903), Bohemian mathematician * Tadeusz Kantor, Polish painter and theatre director * Viatcheslav Moshe Kantor Viatcheslav Moshe Kantor (russian: link=no, Вячеслав Моше Кантор, born on September 8, 1953 in Moscow) is a Russian businessman and philanthropist who has close ties to the Vladimir Putin reg ...
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Kantorovich
Leonid Vitalyevich Kantorovich ( rus, Леони́д Вита́льевич Канторо́вич, , p=lʲɪɐˈnʲit vʲɪˈtalʲjɪvʲɪtɕ kəntɐˈrovʲɪtɕ, a=Ru-Leonid_Vitaliyevich_Kantorovich.ogg; 19 January 19127 April 1986) was a Soviet mathematician and economist, known for his theory and development of techniques for the optimal allocation of resources. He is regarded as the founder of linear programming. He was the winner of the Stalin Prize in 1949 and the Nobel Memorial Prize in Economic Sciences in 1975. Biography Kantorovich was born on 19 January 1912, to a Russian Jewish family. His father was a doctor practicing in Saint Petersburg. In 1926, at the age of fourteen, he began his studies at Leningrad State University. He graduated from the Faculty of Mathematics and Mechanics in 1930, and began his graduate studies. In 1934, at the age of 22 years, he became a full professor. Later, Kantorovich worked for the Soviet government. He was given the task of optimiz ...
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Cantor
A cantor or chanter is a person who leads people in singing or sometimes in prayer. In formal Jewish worship, a cantor is a person who sings solo verses or passages to which the choir or congregation responds. In Judaism, a cantor sings and leads congregants in prayer in Jewish religious services; sometimes called a hazzan. A cantor in Reform and Conservative Judaism, just like in Orthodox Judaism, goes through years of extensive religious education, similar to that of a Rabbi, in order to become an officially recognized cantor. They often come from a long line of cantors in their family; born with a natural gift of singing with incredible vocal range. The term itself was shaped by the Latin term for "singer," but is not an inherently Latin word. It is frequently used to translate a range of equivalent terms in other languages, such as for the leader of singing on a traditional Kerala snake boat, a Chundan Vallam. A similar term is precentor, defined as a leader of the singing of ...
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