Felix Gantmacher
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Felix Gantmacher
Felix Ruvimovich Gantmacher (russian: Феликс Рувимович Гантмахер) (23 February 1908 – 16 May 1964) was a Soviet mathematician, professor at Moscow Institute of Physics and Technology, well known for his contributions in mechanics, linear algebra and Lie group theory. In 1925–1926 he participated in seminar guided by Nikolai Chebotaryov in Odessa and wrote his first research paper in 1926. His book ''Theory of Matrices'' (1953) is a standard reference of linear algebra. It has been translated into various languages including a two-volume version in English prepared by Joel Lee Brenner, Donald W. Bushaw, and S. Evanusa. George Herbert Weiss noted that "this book cannot be recommended too highly as it contains material otherwise unavailable in book form". Gantmacher collaborated with Mark Krein on ''Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems''. In 1939 he contributed to the classification problem of the real Lie algebras. ...
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Odessa
Odesa (also spelled Odessa) is the third most populous city and municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern shore of the Black Sea. The city is also the administrative centre of the Odesa Raion and Odesa Oblast, as well as a multiethnic cultural centre. As of January 2021 Odesa's population was approximately In classical antiquity a large Greek settlement existed at its location. The first chronicle mention of the Slavic settlement-port of Kotsiubijiv, which was part of the Grand Duchy of Lithuania, dates back to 1415, when a ship was sent from here to Constantinople by sea. After a period of Lithuanian Grand Duchy control, the port and its surroundings became part of the domain of the Ottomans in 1529, under the name Hacibey, and remained there until the empire's defeat in the Russo-Turkish War of 1792. In 1794, the modern city of Odesa was founded by a decree of the Russian empress Catherin ...
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Lie Algebra
In mathematics, a Lie algebra (pronounced ) is a vector space \mathfrak g together with an operation called the Lie bracket, an alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g, that satisfies the Jacobi identity. The Lie bracket of two vectors x and y is denoted ,y/math>. The vector space \mathfrak g together with this operation is a non-associative algebra, meaning that the Lie bracket is not necessarily associative. Lie algebras are closely related to Lie groups, which are groups that are also smooth manifolds: any Lie group gives rise to a Lie algebra, which is its tangent space at the identity. Conversely, to any finite-dimensional Lie algebra over real or complex numbers, there is a corresponding connected Lie group unique up to finite coverings ( Lie's third theorem). This correspondence allows one to study the structure and classification of Lie groups in terms of Lie algebras. In physics, Lie groups appear as symmetry groups ...
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Odesa Jews
Odesa (also spelled Odessa) is the third most populous city and municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern shore of the Black Sea. The city is also the administrative centre of the Odesa Raion and Odesa Oblast, as well as a multiethnic cultural centre. As of January 2021 Odesa's population was approximately In classical antiquity a large Greek settlement existed at its location. The first chronicle mention of the Slavic settlement-port of Kotsiubijiv, which was part of the Grand Duchy of Lithuania, dates back to 1415, when a ship was sent from here to Constantinople by sea. After a period of Lithuanian Grand Duchy control, the port and its surroundings became part of the domain of the Ottomans in 1529, under the name Hacibey, and remained there until the empire's defeat in the Russo-Turkish War of 1792. In 1794, the modern city of Odesa was founded by a decree of the Russian empress Catherine t ...
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Ukrainian Jews
The history of the Jews in Ukraine dates back over a thousand years; Jewish communities have existed in the territory of Ukraine from the time of the Kievan Rus' (late 9th to mid-13th century). Some of the most important Jewish religious and cultural movements, from Hasidism to Zionism, rose either fully or to an extensive degree in the territory of modern Ukraine. According to the World Jewish Congress, the Jewish community in Ukraine constitutes the third-largest in Europe and the fifth-largest in the world. The actions of the Soviet government by 1927 led to a growing antisemitism in the area.Сергійчук, В. Український Крим К. 2001, p.156 Total civilian losses during World War II and the Reichskommissariat Ukraine, German occupation of Ukraine are estimated at seven million. More than one million Soviet Jews, of them around 225,000 in Belarus, were shot and killed by the Einsatzgruppen and by their many local Ukrainian supporters. Most of them wer ...
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Stalin Prize Winners
Joseph Vissarionovich Stalin (born Ioseb Besarionis dze Jughashvili; – 5 March 1953) was a Georgian revolutionary and Soviet political leader who led the Soviet Union from 1924 until his death in 1953. He held power as General Secretary of the Communist Party of the Soviet Union (1922–1952) and Chairman of the Council of Ministers of the Soviet Union (1941–1953). Initially governing the country as part of a collective leadership, he consolidated power to become a dictator by the 1930s. Ideologically adhering to the Leninist interpretation of Marxism, he formalised these ideas as Marxism–Leninism, while his own policies are called Stalinism. Born to a poor family in Gori in the Russian Empire (now Georgia), Stalin attended the Tbilisi Spiritual Seminary before joining the Marxist Russian Social Democratic Labour Party. He edited the party's newspaper, ''Pravda'', and raised funds for Vladimir Lenin's Bolshevik faction via robberies, kidnappings and protection ra ...
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Academic Staff Of The Moscow Institute Of Physics And Technology
An academy ( Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, '' Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulatio ...
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Soviet Mathematicians
The Soviet Union,. officially the Union of Soviet Socialist Republics. (USSR),. was a transcontinental country that spanned much of Eurasia from 1922 to 1991. A flagship communist state, it was nominally a federal union of fifteen national republics; in practice, both its government and its economy were highly centralized until its final years. It was a one-party state governed by the Communist Party of the Soviet Union, with the city of Moscow serving as its capital as well as that of its largest and most populous republic: the Russian SFSR. Other major cities included Leningrad (Russian SFSR), Kiev (Ukrainian SSR), Minsk ( Byelorussian SSR), Tashkent (Uzbek SSR), Alma-Ata (Kazakh SSR), and Novosibirsk (Russian SFSR). It was the largest country in the world, covering over and spanning eleven time zones. The country's roots lay in the October Revolution of 1917, when the Bolsheviks, under the leadership of Vladimir Lenin, overthrew the Russian Provisional Governmen ...
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Scientists From Odesa
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The role ...
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1964 Deaths
Events January * January 1 – The Federation of Rhodesia and Nyasaland is dissolved. * January 5 - In the first meeting between leaders of the Roman Catholic and Orthodox churches since the fifteenth century, Pope Paul VI and Patriarch Athenagoras I of Constantinople meet in Jerusalem. * January 6 – A British firm, the Leyland Motor Corp., announces the sale of 450 buses to the Cuban government, challenging the United States blockade of Cuba. * January 9 – ''Martyrs' Day'': Armed clashes between United States troops and Panamanian civilians in the Panama Canal Zone precipitate a major international crisis, resulting in the deaths of 21 Panamanians and 4 U.S. soldiers. * January 11 – United States Surgeon General Luther Terry reports that smoking may be hazardous to one's health (the first such statement from the U.S. government). * January 12 ** Zanzibar Revolution: The predominantly Arab government of Zanzibar is overthrown by African nationalist reb ...
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1908 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album '' 63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipkno ...
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Vsevolod Gantmakher
Vsevolod Feliksovich Gantmakher (October 8, 1935 – March 5, 20 ''Всеволод Феликсович Гантмахер''), a prominent Russian experimental physicist of Jewish origin, was born in Moscow as son of Felix Gantmacher, a prominent mathematician. He was a full Member of the Russian Academy of Sciences and is known for his fundamental contributions to condensed matter physics especially for the Gantmakher effect and Gantmakher–Kaner oscillations. Career Gantmakher graduated from the Moscow Institute of Physics and Technology ( MFTI) in 1960 and was accepted for graduate study to Kapitza's Institute for Physical Problems in Moscow where he worked under Yuri Sharvin on high frequency electron properties of metals exploring exotic shapes of Fermi surfaces of metals. There Gantmakher earned his PhD and Doctor of Science degrees for the discovery of both the Gantmakher effect and the Gantmakher–Kaner oscillations. After completing his work at the Kapitza' Institute, Ga ...
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Complex Lie Group
In geometry, a complex Lie group is a Lie group over the complex numbers; i.e., it is a complex-analytic manifold that is also a group in such a way G \times G \to G, (x, y) \mapsto x y^ is holomorphic. Basic examples are \operatorname_n(\mathbb), the general linear groups over the complex numbers. A connected compact complex Lie group is precisely a complex torus (not to be confused with the complex Lie group \mathbb C^*). Any finite group may be given the structure of a complex Lie group. A complex semisimple Lie group is a linear algebraic group. The Lie algebra of a complex Lie group is a complex Lie algebra. Examples *A finite-dimensional vector space over the complex numbers (in particular, complex Lie algebra) is a complex Lie group in an obvious way. *A connected compact complex Lie group ''A'' of dimension ''g'' is of the form \mathbb^g/L where ''L'' is a discrete subgroup. Indeed, its Lie algebra \mathfrak can be shown to be abelian and then \operatorname: \mathf ...
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